02824nam 2200601 a 450 991077797980332120230721021630.01-282-12890-6978661212890581-224-2704-9(CKB)1000000000762141(EBL)437720(OCoLC)430846000(SSID)ssj0000674787(PQKBManifestationID)11460084(PQKBTitleCode)TC0000674787(PQKBWorkID)10667600(PQKB)10731301(MiAaPQ)EBC437720(Au-PeEL)EBL437720(CaPaEBR)ebr10318704(CaONFJC)MIL212890(EXLCZ)99100000000076214120091005d2007 uy 0engur|n|---|||||txtccrTopology[electronic resource] general and algebraic /D. ChatterjeeNew Delhi New Age International (P) Ltd., Publishersc20071 online resource (176 p.)Description based upon print version of record.81-224-1943-7 Includes bibliographical references.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; BibliographyAbout 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 theTopologyAlgebraic topologyTopological spacesTopology.Algebraic topology.Topological spaces.513.83629.8Chatterjee D1567085MiAaPQMiAaPQMiAaPQBOOK9910777979803321Topology3838196UNINA