Anant R. Shastri

Basic Algebraic Topology (eBook, PDF)

• Format: PDF

Produktbeschreibung

Thoroughly classroom-tested, this self-contained text provides plenty of material for a two-semester first course in algebraic topology, taking students all the way to becoming algebraic topologists. It covers many important results, concepts, and applications in standard algebraic topology-including topics not typically covered in introductory texts. 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.

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Produktdetails

• Verlag: Taylor & Francis
• 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.