# Course

## M304 - Topology

Course No:
M304
Credit:
4
Prerequisites:
M204
Approval:
2014
UG-Core
Syllabus:
Topological Spaces, Open and closed sets, Interior, Closure and Boundary of sets, Basis for Topology, Product Topology, Subspace Topology, Metric Topology, Compact Spaces, Locally compact spaces, Continuous functions, Open map, Homeomorphisms, Function Spaces, Separation Axioms: $T_1$, Hausdorff, regular, normal spaces; Uryshon’s lemma, Tietze Extension Theorem, One point compactification, Connected Spaces, Path Connected Spaces, Quotient Topology, Homotopic Maps, Deformation Retract, Contractible Spaces, Fundamental Group, The Brouwer fixed-point theorem.
Text Books:
1. J. R.Munkres, “Topology”, Prentice-Hall of India, 2013.
2. M. A. Armstrong, “Basic Topology”, Undergraduate Texts in Mathematics, Springer-Verlag, 1983.
Reference Books:
1. J. L. Kelley, “General Topology”, Graduate Texts in Mathematics, No. 27. Springer- Verlag, New York-Berlin, 1975.
2. K. J ̈ anich, “Topology”, Undergraduate Texts in Mathematics. Springer-Verlag, 1984