Algebraic topology/ Allen Hatcher
Publication details: Cambridge: Cambridge University Press, 2002Description: xii, 544 p. : ill. ; 26 cmISBN: 9780521795401; 9780521541862Subject(s): Algebraic topologyDDC classification: 514.2Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
General Books | Central Library, Sikkim University General Book Section | 514.2 HAT/A (Browse shelf(Opens below)) | C1 | Available | 49792 | ||
General Books | Central Library, Sikkim University General Book Section | 514.2 HAT/A (Browse shelf(Opens below)) | C2 | Available | 49793 | ||
General Books | Central Library, Sikkim University General Book Section | 514.2 HAT/A (Browse shelf(Opens below)) | C3 | Available | 49794 | ||
General Books | Central Library, Sikkim University General Book Section | 514.2 HAT/A (Browse shelf(Opens below)) | C4 | Available | 49795 | ||
General Books | Central Library, Sikkim University General Book Section | 514.2 HAT/A (Browse shelf(Opens below)) | C5 | Checked out | 25/10/2024 | 49796 |
Some Underlying Geometric Notions --
Homotopy and Homotopy Type --
Cell Complexes --
Operations on Spaces --
Two Criteria for Homotopy Equivalence --
The Homotopy Extension Property --
The Fundamental Group --
Basic Constructions --
Paths and Homotopy --
The Fundamental Group of the Circle --
Induced Homomorphisms --
Van Kampen's Theorem --
Free Products of Groups --
The van Kampen Theorem --
Applications to Cell Complexes --
Covering Spaces --
Lifting Properties --
The Classification of Covering Spaces --
Deck Transformations and Group Actions --
Graphs and Free Groups --
K(G,1) Spaces and Graphs of Groups --
Homology --
Simplicial and Singular Homology --
[Delta]-Complexes --
Simplicial Homology --
Singular Homology --
Homotopy Invariance --
Exact Sequences and Excision --
The Equivalence of Simplicial and Singular Homology --
Computations and Applications --
Degree --
Cellular Homology --
Mayer-Vietoris Sequences --
Homology with Coefficients --
The Formal Viewpoint --
Axioms for Homology --
Categories and Functors --
Homology and Fundamental Group --
Classical Applications --
Simplicial Approximation --
Cohomology --
Cohomology Groups --
The Universal Coefficient Theorem --
Cohomology of Spaces --
Cup Product --
The Cohomology Ring --
A Kunneth Formula --
Spaces with Polynomial Cohomology --
Poincare Duality --
Orientations and Homology --
The Duality Theorem --
Connection with Cup Product --
Other Forms of Duality --
Universal Coefficients for Homology --
The General Kunneth Formula.
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