# MATH-510: Topology

This is an introductory course in topology, giving the basics of the theory.

Topological spaces, bases and sub-bases, first and second axiom of countability, separability, continuous functions and homeomorphism, finite product space. Separation axioms $(T_0, T_1, T_2)$. Regular spaces, completely regular spaces, normal spaces, compact spaces, connected spaces.

1. Sheldon Davis, Topology, McGraw-Hill Science/Engineering/Math, 2004.
2. Seymour Lipschutz, Schaums Outline of General Topology, McGraw-Hill, 2011.
3. James Munkres, Topology (2nd Edition), Prentice Hall, 2000.
4. G.F. Simmons, Introduction to Topology and Modern Analysis, Tata McGraw-Hill, 2004. (link)
5. Stephen Willard, General Topology, Dover Publications, 2004. (link)
6. M.A. Armstrong, Basic Topology, Springer, 2010.

### Presentations

01, 03, 04, 05, 07, 10, 11, 13, 14, 15,
63, 68, 75, 78, 85, 86.