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Universal spaces for asymptotic dimension via factorization

Part of: Maps and general types of spaces defined by maps

Published online by Cambridge University Press:  20 October 2023

Jerzy Dydak Open the ORCID record for Jerzy Dydak [Opens in a new window] ,
Michael Levin Open the ORCID record for Michael Levin [Opens in a new window]  and
Jeremy Siegert Open the ORCID record for Jeremy Siegert [Opens in a new window]
Jerzy Dydak
Affiliation:
Department of Mathematics, University of Tennessee, Knoxville, TN, USA and Department of Mathematics, Xi’an Technological University, No. 2, Xuefu Zhong Lu, Weiyan District, Xi’an, China e-mail: jdydak@utk.edu
Michael Levin
Affiliation:
Department of Mathematics, Ben Gurion University of the Negev, Beer Sheva 8410501, Israel e-mail: mlevine@math.bgu.ac.il
Jeremy Siegert*
Affiliation:
Department of Mathematics, Ben Gurion University of the Negev, Beer Sheva 8410501, Israel
*
e-mail: siegertj@post.bgu.ac.il
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Abstract

The main goal of this paper is to construct universal spaces for asymptotic dimension by generalizing to the coarse context an approach to constructing universal spaces for covering dimension using a factorization result due to Mardesic.

Keywords

Asymptotic dimensionuniversal spacecoarse geometry

MSC classification

Primary: 54C25: Embedding
Type
Article
Information
Canadian Mathematical Bulletin , First View , pp. 1 - 12
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of The Canadian Mathematical Society

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Footnotes

The second and third authors were supported by the Israel Science Foundation (Grant No. 2196/20) and the Institute of Mathematics of the Polish Academy of Sciences where the main results were obtained during their visits in 2021–2022.

References

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