This article is cited in 5 papers

Borsuk–Ulam type spaces

Oleg R. Musin^ab, Alexey Yu. Volovikov<sup>c

a</sup> IITP RAS, Bolshoy Karetny per. 19, Moscow, 127994, Russia
^b Department of Mathematics, University of Texas at Brownsville, Brownsville, TX, 78520
^c Department of Higher Mathematics, MSTU MIREA, Vernadskogo av., 78, Moscow, 119454, Russia

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.

Key words and phrases: Borsuk–Ulam theorem, Tucker's lemma, Yang's index.

MSC: 55M20, 57S17

Received: February 3, 2015

Language: English

DOI: 10.17323/1609-4514-2015-15-4-749-766

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