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