Topology : general and algebraic / D. Chatterjee.

Format:

Book

Author/Creator:

Chatterjee, D.

Language:

English

Subjects (All):

Topology.

Algebraic topology.

Topological spaces.

Physical Description:

1 online resource (176 p.)

Edition:

1st ed.

Place of Publication:

New Delhi : New Age International (P) Ltd., Publishers, c2007.

Language Note:

English

Summary:

About the Book: This book provides exposition of the subject both in its general and algebraic aspects. It deals with the notions of topological spaces, compactness, connectedness, completeness including metrizability and compactification, algebraic aspects of topological spaces through homotopy groups and homology groups. It begins with the basic notions of topological spaces but soon going beyond them reaches the domain of algebra through the notions of homotopy, homology and cohomology. How these approaches work in harmony is the subject matter of this book. The book finally arrives at the

Contents:

Cover; Preface; Contents; Part I; Chapter 1 Sets, Relations and Functions; Chapter 2 Topologies of R and R2; Chapter 3 Metric Space; Chapter 4 Topological Spaces; Chapter 5 Separation Axioms; Chapter 6 Compactness; Chapter 7 Connectedness; Part II; Chapter 1 Algebraic Preliminaries; Chapter 2 Homotopy Theory; Chapter 3 Compact Open Topology; Chapter 4 Higher Homotopy Groups; Chapter 5 Surfaces, Manifolds and CW Complexes; Chapter 6 Simplicial Homology Theory; Chapter 7 Singular Homology Theory; Chapter 8 Manifold Analysis; Chapter 9 Fibre Bundles; Bibliography

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

1-282-12890-6

9786612128905

81-224-2704-9

OCLC:

430846000