Pontryagin duality and the structure of locally compact abelian groups:
These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amo...
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1977
|
Schriftenreihe: | London Mathematical Society lecture note series
29 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 Volltext |
Zusammenfassung: | These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for first-year graduate courses |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Beschreibung: | 1 online resource (viii, 128 pages) |
ISBN: | 9780511600722 |
DOI: | 10.1017/CBO9780511600722 |
Internformat
MARC
LEADER | 00000nmm a2200000zcb4500 | ||
---|---|---|---|
001 | BV043942303 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 161206s1977 |||| o||u| ||||||eng d | ||
020 | |a 9780511600722 |c Online |9 978-0-511-60072-2 | ||
024 | 7 | |a 10.1017/CBO9780511600722 |2 doi | |
035 | |a (ZDB-20-CBO)CR9780511600722 | ||
035 | |a (OCoLC)967601809 | ||
035 | |a (DE-599)BVBBV043942303 | ||
040 | |a DE-604 |b ger |e rda | ||
041 | 0 | |a eng | |
049 | |a DE-12 |a DE-92 | ||
082 | 0 | |a 512/.55 |2 19eng | |
084 | |a SI 320 |0 (DE-625)143123: |2 rvk | ||
100 | 1 | |a Morris, Sidney A. |d 1947- |e Verfasser |4 aut | |
245 | 1 | 0 | |a Pontryagin duality and the structure of locally compact abelian groups |c Sidney A. Morris |
246 | 1 | 3 | |a Pontryagin Duality & the Structure of Locally Compact Abelian Groups |
264 | 1 | |a Cambridge |b Cambridge University Press |c 1977 | |
300 | |a 1 online resource (viii, 128 pages) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 0 | |a London Mathematical Society lecture note series |v 29 | |
500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
520 | |a These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for first-year graduate courses | ||
650 | 4 | |a Locally compact Abelian groups | |
650 | 4 | |a Duality theory (Mathematics) | |
650 | 4 | |a Pontrjagin duality | |
650 | 0 | 7 | |a Lokal kompakte Abelsche Gruppe |0 (DE-588)4168093-5 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Pontrjagin-Dualität |0 (DE-588)4365532-4 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Pontrjagin-Dualität |0 (DE-588)4365532-4 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
689 | 1 | 0 | |a Lokal kompakte Abelsche Gruppe |0 (DE-588)4168093-5 |D s |
689 | 1 | |8 2\p |5 DE-604 | |
776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-21543-5 |
856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511600722 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
912 | |a ZDB-20-CBO | ||
999 | |a oai:aleph.bib-bvb.de:BVB01-029351273 | ||
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 | |
966 | e | |u https://doi.org/10.1017/CBO9780511600722 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
966 | e | |u https://doi.org/10.1017/CBO9780511600722 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext |
Datensatz im Suchindex
_version_ | 1804176884966096896 |
---|---|
any_adam_object | |
author | Morris, Sidney A. 1947- |
author_facet | Morris, Sidney A. 1947- |
author_role | aut |
author_sort | Morris, Sidney A. 1947- |
author_variant | s a m sa sam |
building | Verbundindex |
bvnumber | BV043942303 |
classification_rvk | SI 320 |
collection | ZDB-20-CBO |
ctrlnum | (ZDB-20-CBO)CR9780511600722 (OCoLC)967601809 (DE-599)BVBBV043942303 |
dewey-full | 512/.55 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512/.55 |
dewey-search | 512/.55 |
dewey-sort | 3512 255 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511600722 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02775nmm a2200541zcb4500</leader><controlfield tag="001">BV043942303</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s1977 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780511600722</subfield><subfield code="c">Online</subfield><subfield code="9">978-0-511-60072-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9780511600722</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9780511600722</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)967601809</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043942303</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512/.55</subfield><subfield code="2">19eng</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 320</subfield><subfield code="0">(DE-625)143123:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Morris, Sidney A.</subfield><subfield code="d">1947-</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Pontryagin duality and the structure of locally compact abelian groups</subfield><subfield code="c">Sidney A. Morris</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Pontryagin Duality & the Structure of Locally Compact Abelian Groups</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">1977</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (viii, 128 pages)</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="490" ind1="0" ind2=" "><subfield code="a">London Mathematical Society lecture note series</subfield><subfield code="v">29</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 05 Oct 2015)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for first-year graduate courses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Locally compact Abelian groups</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Duality theory (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Pontrjagin duality</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lokal kompakte Abelsche Gruppe</subfield><subfield code="0">(DE-588)4168093-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Pontrjagin-Dualität</subfield><subfield code="0">(DE-588)4365532-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Pontrjagin-Dualität</subfield><subfield code="0">(DE-588)4365532-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Lokal kompakte Abelsche Gruppe</subfield><subfield code="0">(DE-588)4168093-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-0-521-21543-5</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9780511600722</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029351273</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><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511600722</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9780511600722</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
id | DE-604.BV043942303 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:17Z |
institution | BVB |
isbn | 9780511600722 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351273 |
oclc_num | 967601809 |
open_access_boolean | |
owner | DE-12 DE-92 |
owner_facet | DE-12 DE-92 |
physical | 1 online resource (viii, 128 pages) |
psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
publishDate | 1977 |
publishDateSearch | 1977 |
publishDateSort | 1977 |
publisher | Cambridge University Press |
record_format | marc |
series2 | London Mathematical Society lecture note series |
spelling | Morris, Sidney A. 1947- Verfasser aut Pontryagin duality and the structure of locally compact abelian groups Sidney A. Morris Pontryagin Duality & the Structure of Locally Compact Abelian Groups Cambridge Cambridge University Press 1977 1 online resource (viii, 128 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 29 Title from publisher's bibliographic system (viewed on 05 Oct 2015) These lecture notes begin with an introduction to topological groups and proceed to a proof of the important Pontryagin-van Kampen duality theorem and a detailed exposition of the structure of locally compact abelian groups. Measure theory and Banach algebra are entirely avoided and only a small amount of group theory and topology is required, dealing with the subject in an elementary fashion. With about a hundred exercises for the student, it is a suitable text for first-year graduate courses Locally compact Abelian groups Duality theory (Mathematics) Pontrjagin duality Lokal kompakte Abelsche Gruppe (DE-588)4168093-5 gnd rswk-swf Pontrjagin-Dualität (DE-588)4365532-4 gnd rswk-swf Pontrjagin-Dualität (DE-588)4365532-4 s 1\p DE-604 Lokal kompakte Abelsche Gruppe (DE-588)4168093-5 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-21543-5 https://doi.org/10.1017/CBO9780511600722 Verlag URL des Erstveröffentlichers 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 | Morris, Sidney A. 1947- Pontryagin duality and the structure of locally compact abelian groups Locally compact Abelian groups Duality theory (Mathematics) Pontrjagin duality Lokal kompakte Abelsche Gruppe (DE-588)4168093-5 gnd Pontrjagin-Dualität (DE-588)4365532-4 gnd |
subject_GND | (DE-588)4168093-5 (DE-588)4365532-4 |
title | Pontryagin duality and the structure of locally compact abelian groups |
title_alt | Pontryagin Duality & the Structure of Locally Compact Abelian Groups |
title_auth | Pontryagin duality and the structure of locally compact abelian groups |
title_exact_search | Pontryagin duality and the structure of locally compact abelian groups |
title_full | Pontryagin duality and the structure of locally compact abelian groups Sidney A. Morris |
title_fullStr | Pontryagin duality and the structure of locally compact abelian groups Sidney A. Morris |
title_full_unstemmed | Pontryagin duality and the structure of locally compact abelian groups Sidney A. Morris |
title_short | Pontryagin duality and the structure of locally compact abelian groups |
title_sort | pontryagin duality and the structure of locally compact abelian groups |
topic | Locally compact Abelian groups Duality theory (Mathematics) Pontrjagin duality Lokal kompakte Abelsche Gruppe (DE-588)4168093-5 gnd Pontrjagin-Dualität (DE-588)4365532-4 gnd |
topic_facet | Locally compact Abelian groups Duality theory (Mathematics) Pontrjagin duality Lokal kompakte Abelsche Gruppe Pontrjagin-Dualität |
url | https://doi.org/10.1017/CBO9780511600722 |
work_keys_str_mv | AT morrissidneya pontryagindualityandthestructureoflocallycompactabeliangroups AT morrissidneya pontryagindualitythestructureoflocallycompactabeliangroups |