General Topology for Beginners

Auteur
Dr Jay Mehta is Assistant Professor in Department of Mathematics at Sardar Patel University, Gujarat, India. He is Ph.D. in Mathematics from Harish-Chandra Research Institute (HRI), Allahabad. His research interests include number theory and cryptography.

Texte du rabat

This book on general topology is meant for graduate and senior undergraduate mathematics students. Written in a lucid manner, the text is enriched with examples, exercises, and proofs. Each topic has been explained in detail, and proofs are presented in a stepwise manner, which makes it suitable for self-study.

Contenu

1. Preliminaries; 2. Topological Spaces 3. Continuous Functions; 4. Techniques of Creating Topologies: New from Old; 5. The Topology of Metric Spaces; 6. Countability Axioms; 7. Separation Axioms; 8. Compactness; 9. Connectedness; Appendix: From General Topology to Algebraic Topology; References; Index.