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Basic Algebraic Topology
ISBN-13:
9781466562448
Veröffentl:
2016
Seiten:
551
Autor:
Anant R. Shastri
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:
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 si
Introduction. Cell Complexes and Simplicial Complexes. Covering Spaces and Fundamental Group. Homology Groups. Topology of Manifolds. Universal Coefficient Theorem for Homology. Cohomology. Homology of Manifolds. Cohomology of Sheaves. Homotopy Theory. Homology of Fiber Spaces. Characteristic Classes. Spectral Sequences. Hints and Solutions. Bibliography. Index.
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