Borsuk - Ulam Type spaces
Oleg R. Musin, Alexey Yu. Volovikov
TL;DR
This paper investigates spaces with free involutions satisfying Borsuk-Ulam theorems, utilizing Yang's cohomological index as a key tool to analyze their properties.
Contribution
It introduces a framework for understanding BUT-spaces through multiple equivalent definitions and employs cohomological index to study their topological features.
Findings
Characterization of BUT-spaces via cohomological index
Identification of equivalent properties of BUT-spaces
Application of Yang's cohomological index to analyze involutions
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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Ophthalmology and Eye Disorders · Intracranial Aneurysms: Treatment and Complications