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My solutions to some of GP's exercises (I skip the few I found non-interesting). I guarantee no correctness. Hopefully any self-learners out there can benefit from
Notes on the real definition of a smooth manifold: pdf, LaTeX. Notes on partitions of 17: Guillemin and Pollack: Section 1.1, Problems 10, 12, 17; Section 1.2, Problems 1, 12. Hints: pdf Text, Differential Topology, by Guillemin and Pollack.
Lang, Serge, Introduction to differentiable manifolds, Imprint New York , Interscience Publishers [1962]; Victor Guillemin and Alan Pollack, Differential Topology,
Introduction. This paper is to propose solutions to selected exercises in Differential Topology by Guillemin and Pollack, [1], and to comment on certain proofs in
27 Dec 2012 I found answers from Henry T. Horton at the question Why the matrix of dG0 is Il. and Augument, and injectivity. very helpful for solving this
Guillemin and Pollack, Differential Topology p. 5. #4. |x| < a p. 6. #8 hyperboloid p. 7. #18b g(x) = f(x ? a)f(b ? x); h(x) = ? x. ?? g(t) dt. ? ?. ?? g(t) dt p. 12. #8.
Homework # 2: (due February 5) Available here. Solutions available here. Homework # 3: (due February 12) Just Guillemin and Pollack this week: Page 18, #2
15 May 2014 In the winter of 2013-2014, I decided to write up complete solutions to the starred exercises in. Differential Topology by Guillemin and Pollack.
Math 732: Differential Topology Differential Topology, by Guillemin and Pollack. properties of the sets of solutions of a system of simultaneous equations?
12 Aug 2015 Some of the comments have suggested using algebraic topology. That sounds horrifying. Let's be analysts and ignore hard stuff. The idea is
     

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