Algebraic Topology (Record no. 211900)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03532nam a2200217Ia 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240409173436.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220128s9999 xx 000 0 und d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780521795401 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514.2 |
| Item number | HAT/A |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Hatcher, Allen |
| 9 (RLIN) | 6708 |
| 245 #0 - TITLE STATEMENT | |
| Title | Algebraic Topology |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New York: |
| Name of publisher, distributor, etc. | Cambridge University Press, |
| Date of publication, distribution, etc. | 2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | ix,544p. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 0. Some Underlying Geometric Notions 1 --<br/>Homotopy and Homotopy Type 1 --<br/>Cell Complexes 5 --<br/>Operations on Spaces 8 --<br/>Two Criteria for Homotopy Equivalence 10 --<br/>Homotopy Extension Property 14 --<br/>Chapter 1. Fundamental Group 21 --<br/>1.1. Basic Constructions 25 --<br/>Paths and Homotopy 25 --<br/>Fundamental Group of the Circle 29 --<br/>Induced Homomorphisms 34 --<br/>1.2. Van Kampen's Theorem 40 --<br/>Free Products of Groups 41 --<br/>Van Kampen Theorem 43 --<br/>Applications to Cell Complexes 50 --<br/>1.3. Covering Spaces 56 --<br/>Lifting Properties 60 --<br/>Classification of Covering Spaces 63 --<br/>Deck Transformations and Group Actions 70 --<br/>1.A. Graphs and Free Groups 83 --<br/>1.B. K(G,1) Spaces and Graphs of Groups 87 --<br/>Chapter 2. Homology 97 --<br/>2.1. Simplicial and Singular Homology 102 --<br/>[Delta]-Complexes 102 --<br/>Simplicial Homology 104 --<br/>Singular Homology 108 --<br/>Homotopy Invariance 110 --<br/>Exact Sequences and Excision 113 --<br/>Equivalence of Simplicial and Singular Homology 128 --<br/>2.2. Computations and Applications 134 --<br/>Degree 134 --<br/>Cellular Homology 137 --<br/>Mayer-Vietoris Sequences 149 --<br/>Homology with Coefficients 153 --<br/>2.3. Formal Viewpoint 160 --<br/>Axioms for Homology 160 --<br/>Categories and Functors 162 --<br/>2.A. Homology and Fundamental Group 166 --<br/>2.B. Classical Applications 169 --<br/>2.C. Simplicial Approximation 177 --<br/>Chapter 3. Cohomology 185 --<br/>3.1. Cohomology Groups 190 --<br/>Universal Coefficient Theorem 190 --<br/>Cohomology of Spaces 197 --<br/>3.2. Cup Product 206 --<br/>Cohomology Ring 211 --<br/>A Kunneth Formula 218 --<br/>Spaces with Polynomial Cohomology 224 --<br/>3.3. Poincare Duality 230 --<br/>Orientations and Homology 233 --<br/>Duality Theorem 239 --<br/>Connection with Cup Product 249 --<br/>Other Forms of Duality 252 --<br/>3.A. Universal Coefficients for Homology 261 --<br/>3.B. General Kunneth Formula 268 --<br/>3.C. H-Spaces and Hopf Algebras 281 --<br/>3.D. Cohomology of SO(n) 292 --<br/>3.E. Bockstein Homomorphisms 303 --<br/>3.F. Limits and Ext 311 --<br/>3.G. Transfer Homomorphisms 321 --<br/>3.H. Local Coefficients 327 --<br/>Chapter 4. Homotopy Theory 337 --<br/>4.1. Homotopy Groups 339 --<br/>Definitions and Basic Constructions 340 --<br/>Whitehead's Theorem 346 --<br/>Cellular Approximation 348 --<br/>CW Approximation 352 --<br/>4.2. Elementary Methods of Calculation 360 --<br/>Excision for Homotopy Groups 360 --<br/>Hurewicz Theorem 366 --<br/>Fiber Bundles 375 --<br/>Stable Homotopy Groups 384 --<br/>4.3. Connections with Cohomology 393 --<br/>Homotopy Construction of Cohomology 393 --<br/>Fibrations 405 --<br/>Postnikov Towers 410 --<br/>Obstruction Theory 415 --<br/>4.A. Basepoints and Homotopy 421 --<br/>4.B. Hopf Invariant 427 --<br/>4.C. Minimal Cell Structures 429 --<br/>4.D. Cohomology of Fiber Bundles 431 --<br/>4.E. Brown Representability Theorem 448 --<br/>4.F. Spectra and Homology Theories 452 --<br/>4.G. Gluing Constructions 456 --<br/>4.H. Eckmann-Hilton Duality 460 --<br/>4.I. Stable Splittings of Spaces 466 --<br/>4.J. Loopspace of a Suspension 470 --<br/>4.K. Dold-Thom Theorem 475 --<br/>4.L. Steenrod Squares and Powers 487 --<br/>Topology of Cell Complexes 519 --<br/>Compact-Open Topology 529. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Algebraic topology. |
| 9 (RLIN) | 4203 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topologia algebraiczna. |
| 9 (RLIN) | 6710 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Koha item type | General Books |
| Koha issues (borrowed), all copies | 2 |
| 947 ## - LOCAL PROCESSING INFORMATION (OCLC) | |
| a | 1331 |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Date last checked out | Cost, replacement price | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 29/03/2022 | 76 | 2642.38 | 2 | 514.2 HAT/A | 051171 | 08/05/2024 | 09/04/2024 | 3302.97 | 29/03/2022 | General Books |