TOPOLOGY II
Prerequisites: MA 231 Algebraic Topology: Homotopy of maps, Fundamental group, Covering spaces, Seifert-Van Kampen theorem, Computation of fundamental groups, Brouwer fixed point theorem and other applications. Differential Topology: Differential manifolds, Differentiable maps and tangent spaces, Vector fields, Submersions and immersions, Lie groups, The Lie algebra of a Lie group.
Books
- Brickell, F. and Clark, R. S., Differentiable Manifolds, Van Nostrand Reinhold Co., London, 1970.
- Munkres, J. R., Elements of Algebraic Topology, Addison-Wesley, Massachusetts, 1984.
- Kosniowski, C., A first course in algebraic topology, Cambridge Univ. Press, 1980.
- Guillenin, V. and Pollack, A., Differential Topology, Prentice Hall, 1974.