Course Archives Theoretical Statistics and Mathematics Unit | |||||||||||||||||||||||
Course: Introduction to Differential Topology Instructor: Suresh Nayak Room: G23 Level: Undergraduate Time: Currently offered |
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Syllabus Past Exams Syllabus Manifolds. Inverse function theorem and immersions, submersions, transversality, homotopy and stability, Sards theorem and Morse functions, Embedding manifolds in Euclidean space, manifolds with boundary , intersection theory mod 2, winding numbers and Jordan- Brouwer separation theorem, Borsuk- Ulam fixed point theorem. Reference Texts: 1. V. Guillemin and Pollack: Differential Topology (Chapters I, II and Appendix 1, 2). 2. J. Milnor: Topology from a differential viewpoint. Evaluation:
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[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute] |