Counting coarse subsets of a countable group

Igor V. Protasov; Ksenia Protasova

doi:10.4995/agt.2018.7721

Authors

Igor V. Protasov Kyiv University https://orcid.org/0000-0003-1518-6234
Ksenia Protasova Kyiv University https://orcid.org/0000-0002-7991-8273

DOI:

https://doi.org/10.4995/agt.2018.7721

Keywords:

ballean, coarse structure, asymorphism, coarse equivalence

Abstract

For every countable group G, there are 2^ω distinct classes of coarselyequivalent subsets of G.

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Author Biographies

Igor V. Protasov, Kyiv University

Department of Computer Science and Cybernetics

Ksenia Protasova, Kyiv University

Department of Computer Science and Cybernetics

References

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D. Dikranjan and N. Zava, Some categorical aspects of coarse spaces and ballean, Topology Appl. 225 (2017) 164-194. https://doi.org/10.1016/j.topol.2017.04.011

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J. Roe, Lectures on coarse geometry, Amer. Math. Soc., Providence, R.I, 2003.