Department of Mathematics

INDIAN INSTITUTE OF SCIENCE

MA 231: Topology

Credits: 3:1

Prerequisite courses for Undergraduates: UM 204

Open and closed sets, continuous functions, Metric topology, Product topology, Connectedness and path-connectedness, Compactness, Countability axioms, Separation axioms, Complete metric spaces, Quotient topology, Topological groups, Orbit spaces, Urysohn’s lemma, Metrizability, Baire Category theorem.  

Suggested books and references:

1. Armstrong, M. A., Basic Topology, Springer (India), 2004.
2. Munkres, K. R., Topology, Pearson Education, 2005.
3. Viro, O.Ya., Ivanov, O.A., Netsvetaev, N., and Kharlamov, V.M., Elementary Topology: Problem Textbook, AMS, 2008.

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