Borsuk - Ulam Type spaces

Abstract

We consider spaces with free involutions that satisfy the Borsuk - Ulam theorems (BUT-spaces). There are several equivalent definitions for BUT-spaces that can be considered as their properties. Our main technical tool is Yang's cohomological index.

20 pages

References in corpus (3)

• Around Sperner's lemma
• Kakutani type Borsuk-Ulam theorem
• Generalizations of Tucker-Fan-Shashkin lemmas