|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910819275703321 |
|
|
Autore |
Chatterjee D |
|
|
Titolo |
Topology : general and algebraic / / D. Chatterjee |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
New Delhi, : New Age International (P) Ltd., Publishers, c2007 |
|
|
|
|
|
|
|
ISBN |
|
1-282-12890-6 |
9786612128905 |
81-224-2704-9 |
|
|
|
|
|
|
|
|
Edizione |
[1st ed.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (176 p.) |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
|
|
Soggetti |
|
Topology |
Algebraic topology |
Topological spaces |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references. |
|
|
|
|
|
|
Nota di contenuto |
|
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 |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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 |
|
|
|
|
|
|
|