Integrated MSc-PhD Program

SYLLABUS

KSM1C03: Topology

Topological Spaces and Continuous Functions, Connectedness and compactness, Tychonoff’s theorem, Countability and Separation Axioms, normal and regular spaces, Urysohn-Tietze theorems, Complete Metric Spaces and Function Spaces, Baire Category Theorem.

Suggested texts:

1. 1. 1. 1. 1. 1. James R. Munkres, Topology, Prentice Hall, Inc., Upper Saddle River, NJ, 2000, Second edition.
               2. I. M. Singer and J. A. Thorpe, Lecture notes on elementary topology and geometry, Springer-Verlag, New York-Heidelberg, 1976, Reprint of the 1967 edition, Undergraduate Texts in Mathematics.
               3. George F. Simmons, Introduction to topology and modern analysis, McGraw-Hill Book Co., Inc., New York-San Francisco, Calif.-Toronto-London, 1963.