MA 332: Algebraic Topology

Credits: 3:0


Homology : Singular homology, excision, Mayer-Vietoris theorem, acyclic models, CW-complexes, simplicial and cellular homology, homology with coefficients./p> Cohomology : Comology groups, relative cohomology,cup products, Kunneth formula, cap product, orientation on manifolds, Poincare duality.


Suggested books :

  1. Hatcher, A., Algebraic Topology ,Cambridge Univ. Press, 2002 (Indian edition is available).
  2. Rotman, J, An Introduction to Algebraic Topology ,Graduate Texts in Mathematics, 119, Springer-Verlag, 1988.
  3. Munkres, I. R., Elements of Algebraic Topology ,Addison-Wesiley, 1984.
  4. Shastri, A. R., Basic Algebraic Topology ,CRC Press, 2014.

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