𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Using the Borsuk-Ulam theorem: lectures on topological methods in combinatorics and geometry

✍ Scribed by Jiri Matousek, A. Björner, G.M. Ziegler

Book ID
127450552
Publisher
Springer
Year
2003
Tongue
English
Weight
2 MB
Series
Universitext
Category
Library
City
Berlin; New York
ISBN-13
9783540003625

No coin nor oath required. For personal study only.

✦ Synopsis

The textbook explains elementary but powerful topological methods based on the Borsuk-Ulam theorem and its generalizations. It covers many substantial results, sometimes with proofs simpler than those in the original papers. At the same time, it assumes no prior knowledge of algebraic topology, and all the required topological notions and results are gradually introduced. History, additional results, and references are presented in separate sections.

📜 SIMILAR VOLUMES

Using the Borsuk-Ulam theorem: lectures
Using the Borsuk-Ulam theorem: lectures on topological methods in combinatorics and geometry
✍ Jiri Matousek, A. Björner, G.M. Ziegler 📂 Library 📅 2003 🏛 Springer 🌐 English ⚖ 2 MB

A number of important results in combinatorics, discrete geometry, and theoretical computer science have been proved using algebraic topology. While the results are quite famous, their proofs are not so widely understood. They are scattered in research papers or outlined in surveys, and they often u