Global homotopy theory /:
A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York, NY :
Cambridge University Press,
2018.
|
| Schriftenreihe: | New mathematical monographs ;
34. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations. Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant phenomena occur not just for a particular group, but in a uniform way for all groups. Prominent examples include stable homotopy, K-theory or bordism. Global equivariant homotopy theory studies such uniform phenomena, i.e. universal symmetries encoded by simultaneous and compatible actions of all compact Lie groups. This book introduces graduate students and researchers to global equivariant homotopy theory. The framework is based on the new notion of global equivalences for orthogonal spectra, a much finer notion of equivalence than is traditionally considered. The treatment is largely self-contained and contains many examples, making it suitable as a textbook for an advanced graduate class. At the same time, the book is a comprehensive research monograph with detailed calculations that reveal the intrinsic beauty of global equivariant phenomena. |
| Beschreibung: | 1 online resource (xviii, 828 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781108593656 1108593658 9781108349161 1108349161 |
Internformat
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-on1050321250 | ||
| 003 | OCoLC | ||
| 005 | 20241004212047.0 | ||
| 006 | m o d | ||
| 007 | cr mn||||||||| | ||
| 008 | 180830t20182018enka ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e rda |e pn |c N$T |d YDX |d EBLCP |d UIU |d OTZ |d U3W |d OCLCO |d CAMBR |d TKN |d OSU |d UKAHL |d OCLCQ |d K6U |d OCLCO |d OCLCQ |d S9M |d OCLCL |d OCLCQ | ||
| 019 | |a 1049823368 |a 1089758622 |a 1242481879 | ||
| 020 | |a 9781108593656 |q (electronic bk.) | ||
| 020 | |a 1108593658 |q (electronic bk.) | ||
| 020 | |a 9781108349161 |q (electronic bk.) | ||
| 020 | |a 1108349161 |q (electronic bk.) | ||
| 020 | |z 9781108425810 |q (hardcover) | ||
| 020 | |z 110842581X |q (hardcover) | ||
| 035 | |a (OCoLC)1050321250 |z (OCoLC)1049823368 |z (OCoLC)1089758622 |z (OCoLC)1242481879 | ||
| 050 | 4 | |a QA612.7 |b .S39 2018eb | |
| 072 | 7 | |a MAT |x 038000 |2 bisacsh | |
| 082 | 7 | |a 514/.24 |2 23 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Schwede, Stefan, |e author. |0 http://id.loc.gov/authorities/names/n2018036375 | |
| 245 | 1 | 0 | |a Global homotopy theory / |c Stefan Schwede, Rheinische Friedrich-Wilhelms-Universität, Bonn. |
| 264 | 1 | |a Cambridge ; |a New York, NY : |b Cambridge University Press, |c 2018. | |
| 264 | 4 | |c ©2018 | |
| 300 | |a 1 online resource (xviii, 828 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a New Mathematical Monographs ; |v 34 | |
| 520 | |a A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations. | ||
| 520 | |a Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant phenomena occur not just for a particular group, but in a uniform way for all groups. Prominent examples include stable homotopy, K-theory or bordism. Global equivariant homotopy theory studies such uniform phenomena, i.e. universal symmetries encoded by simultaneous and compatible actions of all compact Lie groups. This book introduces graduate students and researchers to global equivariant homotopy theory. The framework is based on the new notion of global equivalences for orthogonal spectra, a much finer notion of equivalence than is traditionally considered. The treatment is largely self-contained and contains many examples, making it suitable as a textbook for an advanced graduate class. At the same time, the book is a comprehensive research monograph with detailed calculations that reveal the intrinsic beauty of global equivariant phenomena. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Unstable global homotopy theory -- Ultra-commutative monoids -- Equivariant stable homotopy theory -- Global stable homotopy theory -- Ultra-commutative ring spectra -- Global thom and K-theory spectra. | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Homotopy theory |x History. | |
| 650 | 0 | |a Homotopy theory. |0 http://id.loc.gov/authorities/subjects/sh85061803 | |
| 650 | 6 | |a Homotopie |x Histoire. | |
| 650 | 6 | |a Homotopie. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Homotopía |2 embne | |
| 650 | 7 | |a Homotopy theory |2 fast | |
| 655 | 7 | |a History |2 fast | |
| 758 | |i has work: |a Global homotopy theory (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGRRbthKDvM88BQCCbWdQq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Schwede, Stefan. |t Global homotopy theory. |d Cambridge ; New York, NY : Cambridge University Press, 2018 |z 9781108425810 |w (DLC) 2018024667 |w (OCoLC)1029207219 |
| 830 | 0 | |a New mathematical monographs ; |v 34. |0 http://id.loc.gov/authorities/names/n2003010567 | |
| 856 | 4 | 0 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1854884 |3 Volltext |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH35044503 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH35033862 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5500358 | ||
| 938 | |a EBSCOhost |b EBSC |n 1854884 | ||
| 938 | |a YBP Library Services |b YANK |n 15676601 | ||
| 938 | |a YBP Library Services |b YANK |n 15666359 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-863 | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-on1050321250 |
|---|---|
| _version_ | 1816882469875482624 |
| adam_text | |
| any_adam_object | |
| author | Schwede, Stefan |
| author_GND | http://id.loc.gov/authorities/names/n2018036375 |
| author_facet | Schwede, Stefan |
| author_role | aut |
| author_sort | Schwede, Stefan |
| author_variant | s s ss |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA612 |
| callnumber-raw | QA612.7 .S39 2018eb |
| callnumber-search | QA612.7 .S39 2018eb |
| callnumber-sort | QA 3612.7 S39 42018EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Unstable global homotopy theory -- Ultra-commutative monoids -- Equivariant stable homotopy theory -- Global stable homotopy theory -- Ultra-commutative ring spectra -- Global thom and K-theory spectra. |
| ctrlnum | (OCoLC)1050321250 |
| dewey-full | 514/.24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.24 |
| dewey-search | 514/.24 |
| dewey-sort | 3514 224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04175cam a2200649 i 4500</leader><controlfield tag="001">ZDB-4-EBA-on1050321250</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20241004212047.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr mn|||||||||</controlfield><controlfield tag="008">180830t20182018enka ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">N$T</subfield><subfield code="b">eng</subfield><subfield code="e">rda</subfield><subfield code="e">pn</subfield><subfield code="c">N$T</subfield><subfield code="d">YDX</subfield><subfield code="d">EBLCP</subfield><subfield code="d">UIU</subfield><subfield code="d">OTZ</subfield><subfield code="d">U3W</subfield><subfield code="d">OCLCO</subfield><subfield code="d">CAMBR</subfield><subfield code="d">TKN</subfield><subfield code="d">OSU</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">K6U</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">S9M</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">1049823368</subfield><subfield code="a">1089758622</subfield><subfield code="a">1242481879</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781108593656</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1108593658</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781108349161</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1108349161</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9781108425810</subfield><subfield code="q">(hardcover)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">110842581X</subfield><subfield code="q">(hardcover)</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1050321250</subfield><subfield code="z">(OCoLC)1049823368</subfield><subfield code="z">(OCoLC)1089758622</subfield><subfield code="z">(OCoLC)1242481879</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA612.7</subfield><subfield code="b">.S39 2018eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">038000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">514/.24</subfield><subfield code="2">23</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schwede, Stefan,</subfield><subfield code="e">author.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n2018036375</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Global homotopy theory /</subfield><subfield code="c">Stefan Schwede, Rheinische Friedrich-Wilhelms-Universität, Bonn.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge ;</subfield><subfield code="a">New York, NY :</subfield><subfield code="b">Cambridge University Press,</subfield><subfield code="c">2018.</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2018</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xviii, 828 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">New Mathematical Monographs ;</subfield><subfield code="v">34</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant phenomena occur not just for a particular group, but in a uniform way for all groups. Prominent examples include stable homotopy, K-theory or bordism. Global equivariant homotopy theory studies such uniform phenomena, i.e. universal symmetries encoded by simultaneous and compatible actions of all compact Lie groups. This book introduces graduate students and researchers to global equivariant homotopy theory. The framework is based on the new notion of global equivalences for orthogonal spectra, a much finer notion of equivalence than is traditionally considered. The treatment is largely self-contained and contains many examples, making it suitable as a textbook for an advanced graduate class. At the same time, the book is a comprehensive research monograph with detailed calculations that reveal the intrinsic beauty of global equivariant phenomena.</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Unstable global homotopy theory -- Ultra-commutative monoids -- Equivariant stable homotopy theory -- Global stable homotopy theory -- Ultra-commutative ring spectra -- Global thom and K-theory spectra.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Homotopy theory</subfield><subfield code="x">History.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Homotopy theory.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85061803</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Homotopie</subfield><subfield code="x">Histoire.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Homotopie.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Topology.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Homotopía</subfield><subfield code="2">embne</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Homotopy theory</subfield><subfield code="2">fast</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">History</subfield><subfield code="2">fast</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Global homotopy theory (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCGRRbthKDvM88BQCCbWdQq</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Schwede, Stefan.</subfield><subfield code="t">Global homotopy theory.</subfield><subfield code="d">Cambridge ; New York, NY : Cambridge University Press, 2018</subfield><subfield code="z">9781108425810</subfield><subfield code="w">(DLC) 2018024667</subfield><subfield code="w">(OCoLC)1029207219</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">New mathematical monographs ;</subfield><subfield code="v">34.</subfield><subfield code="0">http://id.loc.gov/authorities/names/n2003010567</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1854884</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH35044503</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH35033862</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest Ebook Central</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL5500358</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">1854884</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">15676601</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">15666359</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| genre | History fast |
| genre_facet | History |
| id | ZDB-4-EBA-on1050321250 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:29:07Z |
| institution | BVB |
| isbn | 9781108593656 1108593658 9781108349161 1108349161 |
| language | English |
| oclc_num | 1050321250 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xviii, 828 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | New mathematical monographs ; |
| series2 | New Mathematical Monographs ; |
| spelling | Schwede, Stefan, author. http://id.loc.gov/authorities/names/n2018036375 Global homotopy theory / Stefan Schwede, Rheinische Friedrich-Wilhelms-Universität, Bonn. Cambridge ; New York, NY : Cambridge University Press, 2018. ©2018 1 online resource (xviii, 828 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier New Mathematical Monographs ; 34 A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations. Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant phenomena occur not just for a particular group, but in a uniform way for all groups. Prominent examples include stable homotopy, K-theory or bordism. Global equivariant homotopy theory studies such uniform phenomena, i.e. universal symmetries encoded by simultaneous and compatible actions of all compact Lie groups. This book introduces graduate students and researchers to global equivariant homotopy theory. The framework is based on the new notion of global equivalences for orthogonal spectra, a much finer notion of equivalence than is traditionally considered. The treatment is largely self-contained and contains many examples, making it suitable as a textbook for an advanced graduate class. At the same time, the book is a comprehensive research monograph with detailed calculations that reveal the intrinsic beauty of global equivariant phenomena. Includes bibliographical references and index. Unstable global homotopy theory -- Ultra-commutative monoids -- Equivariant stable homotopy theory -- Global stable homotopy theory -- Ultra-commutative ring spectra -- Global thom and K-theory spectra. Print version record. Homotopy theory History. Homotopy theory. http://id.loc.gov/authorities/subjects/sh85061803 Homotopie Histoire. Homotopie. MATHEMATICS Topology. bisacsh Homotopía embne Homotopy theory fast History fast has work: Global homotopy theory (Text) https://id.oclc.org/worldcat/entity/E39PCGRRbthKDvM88BQCCbWdQq https://id.oclc.org/worldcat/ontology/hasWork Print version: Schwede, Stefan. Global homotopy theory. Cambridge ; New York, NY : Cambridge University Press, 2018 9781108425810 (DLC) 2018024667 (OCoLC)1029207219 New mathematical monographs ; 34. http://id.loc.gov/authorities/names/n2003010567 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1854884 Volltext |
| spellingShingle | Schwede, Stefan Global homotopy theory / New mathematical monographs ; Unstable global homotopy theory -- Ultra-commutative monoids -- Equivariant stable homotopy theory -- Global stable homotopy theory -- Ultra-commutative ring spectra -- Global thom and K-theory spectra. Homotopy theory History. Homotopy theory. http://id.loc.gov/authorities/subjects/sh85061803 Homotopie Histoire. Homotopie. MATHEMATICS Topology. bisacsh Homotopía embne Homotopy theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85061803 |
| title | Global homotopy theory / |
| title_auth | Global homotopy theory / |
| title_exact_search | Global homotopy theory / |
| title_full | Global homotopy theory / Stefan Schwede, Rheinische Friedrich-Wilhelms-Universität, Bonn. |
| title_fullStr | Global homotopy theory / Stefan Schwede, Rheinische Friedrich-Wilhelms-Universität, Bonn. |
| title_full_unstemmed | Global homotopy theory / Stefan Schwede, Rheinische Friedrich-Wilhelms-Universität, Bonn. |
| title_short | Global homotopy theory / |
| title_sort | global homotopy theory |
| topic | Homotopy theory History. Homotopy theory. http://id.loc.gov/authorities/subjects/sh85061803 Homotopie Histoire. Homotopie. MATHEMATICS Topology. bisacsh Homotopía embne Homotopy theory fast |
| topic_facet | Homotopy theory History. Homotopy theory. Homotopie Histoire. Homotopie. MATHEMATICS Topology. Homotopía Homotopy theory History |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1854884 |
| work_keys_str_mv | AT schwedestefan globalhomotopytheory |