Algebraic Topology:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
1966
|
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main emphasis is on the application to geometry of the algebraic tools developed earlier |
Beschreibung: | 1 Online-Ressource (XIV, 548p) |
ISBN: | 9781468493221 9780387944265 |
DOI: | 10.1007/978-1-4684-9322-1 |
Internformat
MARC
LEADER | 00000nmm a2200000zc 4500 | ||
---|---|---|---|
001 | BV042421190 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 150317s1966 |||| o||u| ||||||eng d | ||
020 | |a 9781468493221 |c Online |9 978-1-4684-9322-1 | ||
020 | |a 9780387944265 |c Print |9 978-0-387-94426-5 | ||
024 | 7 | |a 10.1007/978-1-4684-9322-1 |2 doi | |
035 | |a (OCoLC)879622241 | ||
035 | |a (DE-599)BVBBV042421190 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
082 | 0 | |a 514.2 |2 23 | |
084 | |a MAT 000 |2 stub | ||
100 | 1 | |a Spanier, Edwin H. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Algebraic Topology |c by Edwin H. Spanier |
264 | 1 | |a New York, NY |b Springer New York |c 1966 | |
300 | |a 1 Online-Ressource (XIV, 548p) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
500 | |a Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main emphasis is on the application to geometry of the algebraic tools developed earlier | ||
650 | 4 | |a Mathematics | |
650 | 4 | |a Algebraic topology | |
650 | 4 | |a Algebraic Topology | |
650 | 4 | |a Mathematik | |
650 | 0 | 7 | |a Algebraische Topologie |0 (DE-588)4120861-4 |2 gnd |9 rswk-swf |
655 | 7 | |8 1\p |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
689 | 0 | 0 | |a Algebraische Topologie |0 (DE-588)4120861-4 |D s |
689 | 0 | |8 2\p |5 DE-604 | |
856 | 4 | 0 | |u https://doi.org/10.1007/978-1-4684-9322-1 |x Verlag |3 Volltext |
912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
940 | 1 | |q ZDB-2-SMA_Archive | |
999 | |a oai:aleph.bib-bvb.de:BVB01-027856607 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk |
Datensatz im Suchindex
_version_ | 1804153093968887808 |
---|---|
any_adam_object | |
author | Spanier, Edwin H. |
author_facet | Spanier, Edwin H. |
author_role | aut |
author_sort | Spanier, Edwin H. |
author_variant | e h s eh ehs |
building | Verbundindex |
bvnumber | BV042421190 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)879622241 (DE-599)BVBBV042421190 |
dewey-full | 514.2 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 514 - Topology |
dewey-raw | 514.2 |
dewey-search | 514.2 |
dewey-sort | 3514.2 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4684-9322-1 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02285nmm a2200469zc 4500</leader><controlfield tag="001">BV042421190</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s1966 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781468493221</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-4684-9322-1</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780387944265</subfield><subfield code="c">Print</subfield><subfield code="9">978-0-387-94426-5</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-1-4684-9322-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)879622241</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042421190</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">514.2</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Spanier, Edwin H.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Algebraic Topology</subfield><subfield code="c">by Edwin H. Spanier</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York, NY</subfield><subfield code="b">Springer New York</subfield><subfield code="c">1966</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XIV, 548p)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main emphasis is on the application to geometry of the algebraic tools developed earlier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebraic topology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebraic Topology</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Topologie</subfield><subfield code="0">(DE-588)4120861-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Algebraische Topologie</subfield><subfield code="0">(DE-588)4120861-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-1-4684-9322-1</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027856607</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
genre | 1\p (DE-588)4123623-3 Lehrbuch gnd-content |
genre_facet | Lehrbuch |
id | DE-604.BV042421190 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:08Z |
institution | BVB |
isbn | 9781468493221 9780387944265 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856607 |
oclc_num | 879622241 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (XIV, 548p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 1966 |
publishDateSearch | 1966 |
publishDateSort | 1966 |
publisher | Springer New York |
record_format | marc |
spelling | Spanier, Edwin H. Verfasser aut Algebraic Topology by Edwin H. Spanier New York, NY Springer New York 1966 1 Online-Ressource (XIV, 548p) txt rdacontent c rdamedia cr rdacarrier Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main emphasis is on the application to geometry of the algebraic tools developed earlier Mathematics Algebraic topology Algebraic Topology Mathematik Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Algebraische Topologie (DE-588)4120861-4 s 2\p DE-604 https://doi.org/10.1007/978-1-4684-9322-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Spanier, Edwin H. Algebraic Topology Mathematics Algebraic topology Algebraic Topology Mathematik Algebraische Topologie (DE-588)4120861-4 gnd |
subject_GND | (DE-588)4120861-4 (DE-588)4123623-3 |
title | Algebraic Topology |
title_auth | Algebraic Topology |
title_exact_search | Algebraic Topology |
title_full | Algebraic Topology by Edwin H. Spanier |
title_fullStr | Algebraic Topology by Edwin H. Spanier |
title_full_unstemmed | Algebraic Topology by Edwin H. Spanier |
title_short | Algebraic Topology |
title_sort | algebraic topology |
topic | Mathematics Algebraic topology Algebraic Topology Mathematik Algebraische Topologie (DE-588)4120861-4 gnd |
topic_facet | Mathematics Algebraic topology Algebraic Topology Mathematik Algebraische Topologie Lehrbuch |
url | https://doi.org/10.1007/978-1-4684-9322-1 |
work_keys_str_mv | AT spanieredwinh algebraictopology |