A Topological Aperitif

• Main Authors: Jordan, David (Author), Huggett, Stephen (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2009.
• Subjects: Mathematics.; Topology.; Manifolds (Mathematics).; Complex manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).

This is a book of elementary geometric topology, in which geometry, frequently illustrated, guides calculation. The book starts with a wealth of examples, often subtle, of how to be mathematically certain whether two objects are the same from the point of view of topology. After introducing surfaces...

Table of Contents:

• Foreword (written by Roger Penrose)
• Homeomorphic Sets
• Topological Properties
• Equivalent Subsets
• Surfaces and Spaces
• Polyhedra
• Winding Number
• Appendix A: Continuity
• Appendix B: Knots
• Appendix C: History
• Appendix D: Solutions
• Bibliography
• Index.