Anant R. Shastri

Basic Algebraic Topology (eBook, PDF)

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 551
• Erscheinungstermin: 3. Februar 2016
• Englisch
• ISBN-13: 9781466562448
• Artikelnr.: 56957523

Autorenporträt

Dr. Anant R. Shastri is a professor in the Department of Mathematics at the Indian Institute of Technology Bombay, where he has been teaching for over 20 years. His research focuses on the topology of matrix varieties.

Inhaltsangabe

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.