عنوان

Elements of Topology

(Number (ISBN

1482215667

(Number (ISBN

9781482215663

Number

b555142

Title Proper

Elements of Topology

General Material Designation

[Book]

First Statement of Responsibility

Tej Bahadur Singh.

Edition Statement

1st

Name of Publisher, Distributor, etc.

Chapman and Hall/CRC

Date of Publication, Distribution, etc.

2013

Specific Material Designation and Extent of Item

(552 pages : 75 illustrations)

Text of Note

Topological Spaces; Metric Spaces; Topologies; Derived Concepts; Bases; Subspaces Continuity and Products; Continuity; Product Topology Connectedness; Connected Spaces; Components; Path-Connected Spaces Local Connectivity Convergence; Sequences Nets; Filters; Hausdorff Spaces Countability Axioms; 1st and 2nd Countable Spaces; Separable and Lindelöf Spaces Compactness; Compact Spaces; Countably Compact Spaces; Compact Metric Spaces; Locally Compact Spaces; Proper Maps Topological Constructions; Quotient Spaces; Identification Maps; Cones, Suspensions and Joins; Wedge Sums and Smash Products; Adjunction Spaces; Coherent Topologies Separation Axioms; Regular Spaces; Normal Spaces; Completely Regular Spaces; Stone-Čech Compactification Paracompactness and Metrizability; Paracompact Spaces; A Metrization Theorem Completeness; Complete Spaces; Completion; Baire Spaces Function Spaces; Topology of Pointwise Convergence; Compact-Open Topology; Topology of Compact Convergence Topological Groups; Examples and Basic Properties; Subgroups; Isomorphisms; Direct Products Transformation Groups; Group Actions; Orbit Spaces The Fundamental Group; Homotopic Maps; The Fundamental Group; Fundamental Groups of Spheres; The Seifert-van Kampen Theorem. Covering Spaces; Covering Maps; The Lifting Problem; The Universal Covering Spaces; Deck Transformations The Existence of Covering Spaces Appendix A: Set Theory; Appendix B: Fields R, C and H Bibliography Index.

Topology -- Problems, exercises, etc.

Topology.

Class number

Book number

Tej Bahadur Singh.

Tej Bahadur Singh

Electronic name

[Book]

Y