MA 231: Topology

Credits: 3:0


Point-set topology: 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.

The fundamental group: Homotopic maps, Construction of the fundamental group, Fundamental group of the circle, Homotopy type, Brouwer’s fixed-point theorem, Separation of the plane.  


Suggested books :

  1. Armstrong, M. A., Basic Topology, Springer (India), 2004., Functional Anaysis (2nd Ed.) ,McGraw-Hill, 2006.
  2. Munkres, K. R., Topology,Pearson Education, 2005, Functional Anaysis (4th Edition) ,Narosa, 1974.
  3. Viro, O.Ya., Ivanov, O.A., Netsvetaev, N., and Kharlamov, V.M., Elementary Topology: Problem Textbook ,AMS, 2008.

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Contact: +91 (80) 2293 2711, +91 (80) 2293 2625
E-mail: chairman.math[at]iisc[dot]ac[dot]in