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Moscow Mathematical Journal, 2015, Volume 15, Number 4, Pages 749–766
DOI: https://doi.org/10.17323/1609-4514-2015-15-4-749-766 (Mi mmj585) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Borsuk–Ulam type spaces

Oleg R. Musinab, Alexey Yu. Volovikovc

a 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
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DOI: https://doi.org/10.17323/1609-4514-2015-15-4-749-766
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.
Funding agency Grant number
Russian Science Foundation 14-50-00150
The research was carried out at the IITP RAS at the expense of the Russian Foundation for Sciences (project 14-50-00150).
Received: February 3, 2015
Bibliographic databases:
Document Type: Article
MSC: 55M20, 57S17
Language: English
Citation: Oleg R. Musin, Alexey Yu. Volovikov, “Borsuk–Ulam type spaces”, Mosc. Math. J., 15:4 (2015), 749–766
Citation in format AMSBIB
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\by Oleg~R.~Musin, Alexey~Yu.~Volovikov
\paper Borsuk--Ulam type spaces
\jour Mosc. Math.~J.
\yr 2015
\vol 15
\issue 4
\pages 749--766
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\crossref{https://doi.org/10.17323/1609-4514-2015-15-4-749-766}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3438832}
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