Differential Topology

This paper is to propose solutions to selected exercises in Differential Topology by Guillemin and Pollack, [1], and to comment on certain proofs in the book. Although the sections covered in this paper correspond to specific sections in the book, they have been freely renamed to suit the content. The sections of the book which will be covered here are, in order: §6: Homotopy and Stability Appendix 1.: Measure Zero and Sard’s Theorem §8: Embedding Manifolds in Euclidean Space Appendix 2.: Classification of Compact One-Manifolds §2: One-Manifolds and Some Consequences Unless specified, references to sections (denoted by the symbol §) are to those in this paper.