Spaces of homotopy self-equivalences [electronic resource] : a survey / John W. Rutter.
This survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calcul...
Saved in:
| Online Access: |
Full Text (via Springer) |
|---|---|
| Main Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
©1997.
|
| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1662. |
| Subjects: |
MARC
| LEADER | 00000cam a2200000xa 4500 | ||
|---|---|---|---|
| 001 | b5498422 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 070730s1997 gw a ob 001 0 eng d | ||
| 005 | 20240418142347.4 | ||
| 019 | |a 652240789 |a 690019211 |a 771199987 | ||
| 020 | |a 9783540691358 |q (electronic bk.) | ||
| 020 | |a 3540691359 |q (electronic bk.) | ||
| 020 | |z 3540631038 | ||
| 020 | |z 9783540631033 | ||
| 035 | |a (OCoLC)spr159933069 | ||
| 035 | |a (OCoLC)159933069 |z (OCoLC)652240789 |z (OCoLC)690019211 |z (OCoLC)771199987 | ||
| 037 | |a spr10.1007/BFb0093736 | ||
| 040 | |a BUF |b eng |e pn |c BUF |d SPLNM |d COO |d GW5XE |d OCLCQ |d OCLCE |d YNG |d DKDLA |d OCLCO |d OCLCQ |d OCLCO |d OCLCQ |d GW5XE |d OCLCF |d OCLCQ | ||
| 049 | |a GWRE | ||
| 050 | 4 | |a QA3 |b .L28 no. 1662 | |
| 100 | 1 | |a Rutter, John W., |d 1935- |0 http://id.loc.gov/authorities/names/n97056987 |1 http://isni.org/isni/0000000114555638. | |
| 245 | 1 | 0 | |a Spaces of homotopy self-equivalences |h [electronic resource] : |b a survey / |c John W. Rutter. |
| 260 | |a Berlin ; |a New York : |b Springer, |c ©1997. | ||
| 300 | |a 1 online resource (ix, 170 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 Lecture notes in mathematics, |x 0075-8434 ; |v 1662. | |
| 504 | |a Includes bibliographical references (pages 138-162) and index. | ||
| 505 | 0 | |a Preliminaries -- Building blocks -- Representations: homology and homotopy -- Surfaces -- Generators: surface, modular groups -- Manifolds of dimension three or more -- * (X) not finitely generated -- Localization -- * (X) finitely presented, nilpotent -- L-R duality -- Cellular/homology complexes: methods -- Cellular, homology complexes: calculations -- Non-1-connected Postnikov: methods -- Homotopy systems, chain complexes -- Non-1-connected spaces: calculations -- Whitehead torsion, simple homotopy -- Unions and products -- Group theoretic properties -- Homotopy type, homotopy groups -- Homotopy automorphisms of H-spaces -- Fibre and equivariant HE's -- Applications -- Arithmetics groups and commensurability -- Nilpotency, rank and group actions -- References -- List of notation -- Index. | |
| 520 | |a This survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calculation, numerous calculations, finite generation results, Whitehead torsion and other areas. Some 330 references are given. The book assumes familiarity with cell complexes, homology and homotopy. Graduate students and established researchers can use it for learning, for reference, and to determine the current state of knowledge. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Homotopy groups. |0 http://id.loc.gov/authorities/subjects/sh85061802. | |
| 650 | 0 | |a Homotopy equivalences. |0 http://id.loc.gov/authorities/subjects/sh85061801. | |
| 650 | 0 | |a H-spaces. |0 http://id.loc.gov/authorities/subjects/sh85058135. | |
| 650 | 7 | |a H-spaces. |2 fast |0 (OCoLC)fst00949818. | |
| 650 | 7 | |a Homotopy equivalences. |2 fast |0 (OCoLC)fst00959849. | |
| 650 | 7 | |a Homotopy groups. |2 fast |0 (OCoLC)fst00959850. | |
| 776 | 0 | 8 | |i Print version: |a Rutter, John W., 1935- |t Spaces of homotopy self-equivalences. |d Berlin ; New York : Springer, ©1997 |z 3540631038 |w (DLC) 97024992 |w (OCoLC)37031061. |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1662. |0 http://id.loc.gov/authorities/names/n42015165. | |
| 856 | 4 | 0 | |u https://colorado.idm.oclc.org/login?url=http://link.springer.com/10.1007/BFb0093736 |z Full Text (via Springer) |
| 907 | |a .b54984221 |b 03-20-20 |c 06-19-09 | ||
| 998 | |a web |b 05-01-17 |c g |d b |e - |f eng |g gw |h 0 |i 1 | ||
| 907 | |a .b54984221 |b 07-02-19 |c 06-19-09 | ||
| 944 | |a MARS - RDA ENRICHED | ||
| 907 | |a .b54984221 |b 07-06-17 |c 06-19-09 | ||
| 907 | |a .b54984221 |b 05-23-17 |c 06-19-09 | ||
| 915 | |a I | ||
| 956 | |a Springer e-books | ||
| 956 | |b Springer Nature - Springer Book Archive - Springer Mathematics | ||
| 956 | |a Mathematics | ||
| 956 | |a Springer e-books: Archive | ||
| 999 | f | f | |i 50377313-bd54-59d9-b315-96963d80abd6 |s 40ff2d11-bef3-5a1d-9fe5-9bf5d1754474 |
| 952 | f | f | |p Can circulate |a University of Colorado Boulder |b Online |c Online |d Online |e QA3 .L28 no. 1662 |h Library of Congress classification |i Ebooks, Prospector |n 1 |