Covering a Polish group by translates of a nowhere dense set |
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| Authors: | Tadeusz Dobrowolski Witold Marciszewski |
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| Institution: | a Department of Mathematics, Pittsburg State University, Pittsburg, KS 66762, USA
b Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland |
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| Abstract: | We show that, for every nonlocally compact Polish group G with a left-invariant complete metric ρ, we have covG=cov(M). Here, covG is the minimal number of translates of a fixed closed nowhere dense subset of G, which is needed to cover G, and cov(M) is the minimal cardinality of a cover of the real line R by meagre sets. |
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| Keywords: | primary 03E17 54H11 |
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