Cargando…
The algebraic characterization of geometric 4-manifolds /
This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
1994.
|
| Colección: | London Mathematical Society lecture note series ;
198. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn836871773 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 130408s1994 enk ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d E7B |d OCLCF |d YDXCP |d OCLCQ |d AGLDB |d UAB |d OCLCQ |d VTS |d REC |d STF |d M8D |d INARC |d SFB |d UKAHL |d OCLCQ |d OCLCO |d OCLCQ | ||
| 019 | |a 708568810 |a 1277063865 | ||
| 020 | |a 9781107362086 |q (electronic bk.) | ||
| 020 | |a 1107362083 |q (electronic bk.) | ||
| 020 | |a 9780511526350 |q (e-book) | ||
| 020 | |a 0511526350 | ||
| 020 | |z 0521467780 | ||
| 020 | |z 9780521467780 | ||
| 029 | 1 | |a DEBBG |b BV043070168 | |
| 029 | 1 | |a DEBSZ |b 421266260 | |
| 029 | 1 | |a GBVCP |b 804536112 | |
| 035 | |a (OCoLC)836871773 |z (OCoLC)708568810 |z (OCoLC)1277063865 | ||
| 050 | 4 | |a QA613.2 |b .H55 1994eb | |
| 072 | 7 | |a MAT |x 038000 |2 bisacsh | |
| 082 | 0 | 4 | |a 514 |2 22 |
| 084 | |a 31.65 |2 bcl | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Hillman, Jonathan A. |q (Jonathan Arthur), |d 1947- | |
| 245 | 1 | 4 | |a The algebraic characterization of geometric 4-manifolds / |c J.A. Hillman. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 1994. | ||
| 300 | |a 1 online resource (ix, 170 pages) | ||
| 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 London Mathematical Society lecture note series ; |v 198 | |
| 504 | |a Includes bibliographical reference (pages 160-168) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel-Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces. This book is essential reading for anyone interested in low-dimensional topology. | ||
| 505 | 0 | |a Cover; Title; Copyright; Contents; Preface; I Algebraic Preliminaries; 1. Group theoretic notation and terminology; 2. Elementary amenable groups and Hirsch length; 3. Modules and finiteness conditions; 4. The SIBN property and safe extensions of group rings; 5. Ends and cohomology with free coefficients; II General results on the homotopy type of 4-manifolds; 1. Equivariant (co)homology and Poincare duality; 2. Homotopy types.; 3. Finitely dominated covering spaces.; 4. Spherical universal covering spaces; 5. Minimizing the Euler characteristic; III Mapping tori and circle bundles | |
| 505 | 8 | |a 3. Mapping tori of self homeomorphisms of E3-manifolds4. Mapping tori of self homeomorphisms of Nil3-manifolds; 5. Mapping tori of self homeomorphisms of Sol3-manifolds; 6. Other aspherical product geometries; 7. Semisimple geometries; VII Manifolds covered by S2 x R2; 1. Virtually geometric manifolds; 2. Fundamental groups of S2 x E2-manifolds; 3. The homotopy type; 4. Some remarks on the homeomorphism types; VIII Manifolds covered by S3 x R; 1. Covering spaces; 2. The maximal finite normal subgroup; 3. Extensions of D; 4. Realization of the groups; IX Geometries with compact models | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Four-manifolds (Topology) | |
| 650 | 0 | |a Homotopy theory. | |
| 650 | 6 | |a Variétés topologiques à 4 dimensions. | |
| 650 | 6 | |a Homotopie. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Four-manifolds (Topology) |2 fast |0 (OCoLC)fst00933389 | |
| 650 | 7 | |a Homotopy theory. |2 fast |0 (OCoLC)fst00959852 | |
| 650 | 1 | 7 | |a Manifolds. |2 gtt |
| 650 | 7 | |a Variétés topologiques à 4 dimensions. |2 ram | |
| 650 | 7 | |a Homotopie. |2 ram | |
| 653 | 0 | |a Algebraic topology | |
| 776 | 0 | 8 | |i Print version: |a Hillman, Jonathan A. (Jonathan Arthur), 1947- |t Algebraic characterization of geometric 4-manifolds. |d Cambridge : Cambridge University Press, 1994 |z 0521467780 |w (DLC) 94231096 |w (OCoLC)29951147 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 198. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552498 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH13421988 | ||
| 938 | |a ebrary |b EBRY |n ebr10447547 | ||
| 938 | |a EBSCOhost |b EBSC |n 552498 | ||
| 938 | |a Internet Archive |b INAR |n algebraiccharact0000hill | ||
| 938 | |a YBP Library Services |b YANK |n 10405633 | ||
| 994 | |a 92 |b IZTAP | ||