Course Archives    Theoretical Statistics and Mathematics Unit

Course: Introduction to Differential Topology Level: Undergraduate Time: Currently not offered

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. Top of the page Past Exams

Midterm 15.pdf 16.pdf 17.pdf 18.pdf 22.pdf 23.pdf 24.pdf 26.pdf Solutions 15.pdf 16.pdf Semestral 15.pdf 16.pdf 17.pdf 18.pdf 22.pdf 23.pdf 24.pdf 26.pdf Supplementary and Back Paper 16.pdf 22.pdf 22.pdf 23.pdf Top of the page

[ Semester Schedule ][ Statmath Unit ] [Indian Statistical Institute]