Topology has proved to be an essential tool for certain aspects of theoretical computer science. Conversely, the problems that arise in the computational setting have provided new and interesting stimuli for topology. These prob- lems also have incr
The idea of this book was conceived in September 2003, in San Diego, CA, when I presented a tutorial on topology control at the ACM Mobicom conference. After the tutorial, Birgit Gruber approached me and enthusiastically suggested to me the idea of
The idea of this book was conceived in September 2003, in San Diego, CA, when I presented a tutorial on topology control at the ACM Mobicom conference. After the tutorial, Birgit Gruber approached me and enthusiastically suggested to me the idea of
This is a topology book for undergraduates, and in writing I had two aims in mind. Firstly, to make sure the students sees a variety of different techniques and applications involving point set, geometric, and algebraic topology without delving too
Chronology. In the year 2000 I was given two courses to teach: analysis and topology. The Analysis course was assigned to me due to an emergency redistribution; Topology was thrown in as an award for accepting to teach Analysis on such short notice.
Algebraic Topology（Allen Hatcher） Chapter 0. Some Underlying Geometric Notions Chapter 1. The Fundamental Group Chapter 2. Homology Chapter 3. Cohomology Chapter 4. Homotopy Theory
