Basic algebraic topology / (Record no. 69954)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03619nam a2200409Ii 4500 |
| 001 - CONTROL NUMBER | |
| control field | 9780429100475 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 180611s2013 fluab ob 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780429100475 |
| -- | (e-book : PDF) |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 514/.2 |
| 100 1# - AUTHOR NAME | |
| Author | Shastri, Anant Ram, |
| 245 10 - TITLE STATEMENT | |
| Title | Basic algebraic topology / |
| 250 ## - EDITION STATEMENT | |
| Edition statement | First edition. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (551 pages) : |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | chapter 1 Introduction -- chapter 2 Cell Complexes and Simplicial Complexes -- chapter 3 Covering Spaces and Fundamental Group -- chapter 4 Homology Groups -- chapter 5 Topology of Manifolds -- chapter 6 Universal Coefficient Theorem for Homology -- chapter 7 Cohomology -- chapter 8 Homology of Manifolds -- chapter 9 Cohomology of Sheaves -- chapter 10 Homotopy Theory -- chapter 11 Homology of Fibre Spaces -- chapter 12 Characteristic Classes -- chapter 13 Spectral Sequences. |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology. The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and cofibrations, category theory, cell complexes, and simplicial complexes. It then focuses on the fundamental group, covering spaces and elementary aspects of homology theory. It presents the central objects of study in topology visualization: manifolds. After developing the homology theory with coefficients, homology of the products, and cohomology algebra, the book returns to the study of manifolds, discussing Poincaré duality and the De Rham theorem. A brief introduction to cohomology of sheaves and ?ech cohomology follows. The core of the text covers higher homotopy groups, Hurewicz's isomorphism theorem, obstruction theory, Eilenberg-Mac Lane spaces, and Moore-Postnikov decomposition. The author then relates the homology of the total space of a fibration to that of the base and the fiber, with applications to characteristic classes and vector bundles. The book concludes with the basic theory of spectral sequences and several applications, including Serre's seminal work on higher homotopy groups.Thoroughly classroom-tested, this self-contained text takes students all the way to becoming algebraic topologists. Historical remarks throughout the text make the subject more meaningful to students. Also suitable for researchers, the book provides references for further reading, presents full proofs of all results, and includes numerous exercises of varying levels. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| General subdivision | Textbooks. |
| 650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| General subdivision | Algebra |
| 650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| General subdivision | Geometry |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://www.taylorfrancis.com/books/9781466562448 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Boca Raton, FL : |
| -- | Chapman and Hall/CRC, an imprint of Taylor and Francis, |
| -- | 2013. |
| 336 ## - | |
| -- | text |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | rdacarrier |
| 650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | MATHEMATICS / Geometry / General. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Algebraic topology |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Algebraic topology. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Algebraische Topologie. |
| 650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | MATHEMATICS / Topology. |
| 650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | MATHEMATICS |
| 650 #7 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | MATHEMATICS |
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