Singh Elements of Topology

Erscheinungsjahr 2013
ISBN: 978-1-4822-1566-3
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: 0 - No protection

E-Book, Englisch, 552 Seiten

Topology is a large subject with many branches broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad variety of mathematical disciplines. Algebraic topology serves as a powerful tool for studying the problems in geometry and numerous other areas of mathematics.
Elements of Topology provides a basic introduction to point-set topology and algebraic topology. It is intended for advanced undergraduate and beginning graduate students with working knowledge of analysis and algebra. Topics discussed include the theory of convergence, function spaces, topological transformation groups, fundamental groups, and covering spaces.

The author makes the subject accessible by providing more than 250 worked examples and counterexamples with applications. The text also includes numerous end-of-section exercises to put the material into context.

Autoren/Hrsg.

Singh, Tej Bahadur

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

Inhaltsverzeichnis

Topological Spaces. Continuity and Products. Connectedness. Convergence. Countability Axioms. Compactness. Topological Constructions. Separation Axioms. Paracompactness and Metrizability. Completeness. Function Spaces. Topological Groups. Transformation Groups. The Fundamental Group. Covering Spaces. Appendices. Bibliography. Index.