The Experts below are selected from a list of 24 Experts worldwide ranked by ideXlab platform
Arnold W Miller - One of the best experts on this subject based on the ideXlab platform.
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the number of translates of a closed Nowhere Dense Set required to cover a polish group
Annals of Pure and Applied Logic, 2006Co-Authors: Arnold W Miller, Juris SteprānsAbstract:Abstract For a Polish group G let cov G be the minimal number of translates of a fixed closed Nowhere Dense subSet of G required to cover G . For many locally compact G this cardinal is known to be consistently larger than cov ( M ) which is the smallest cardinality of a covering of the real line by meagre Sets. It is shown that for several non-locally compact groups cov G = cov ( M ) . For example the equality holds for the group of permutations of the integers, the additive group of a separable Banach space with an unconditional basis and the group of homeomorphisms of various compact spaces.
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the number of translates of a closed Nowhere Dense Set required to cover a polish group
arXiv: Logic, 2004Co-Authors: Arnold W Miller, Juris StepransAbstract:For a Polish group G let cov_G be the minimal number of translates of a fixed closed Nowhere Dense subSet of G required to cover G. For many locally compact G this cardinal is known to be consistently larger than cov(meager) which is the smallest cardinality of a covering of the real line by meagre Sets. It is shown that for several non-locally compact groups cov_G=cov(meager). For example the equality holds for the group of permutations of the integers, the additive group of a separable Banach space with an unconditional basis and the group of homeomorphisms of various compact spaces. Most recent version at: www.math.wisc.edu/~miller
Zhou Qisheng - One of the best experts on this subject based on the ideXlab platform.
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the approximation from the complete and Nowhere Dense Set to the measurable Set
Journal of Chongqing Technology and Business University, 2006Co-Authors: Zhou QishengAbstract:Lebesgue measurable Set and the complete and Nowhere Dense Set are two kinds of important Set and are the important content in the real variable function. Moreover,Cantor Set is a particular Nowhere Dense Set.In this paper,firstly the author discusses the relationship between Cantor Set and the measurable Set in the one—dimensional space,then extends the conclusion to the higher dimensional space and discusses the approximation from the complete and Nowhere Dense Set to the measurable Set.
Juris Steprāns - One of the best experts on this subject based on the ideXlab platform.
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the number of translates of a closed Nowhere Dense Set required to cover a polish group
Annals of Pure and Applied Logic, 2006Co-Authors: Arnold W Miller, Juris SteprānsAbstract:Abstract For a Polish group G let cov G be the minimal number of translates of a fixed closed Nowhere Dense subSet of G required to cover G . For many locally compact G this cardinal is known to be consistently larger than cov ( M ) which is the smallest cardinality of a covering of the real line by meagre Sets. It is shown that for several non-locally compact groups cov G = cov ( M ) . For example the equality holds for the group of permutations of the integers, the additive group of a separable Banach space with an unconditional basis and the group of homeomorphisms of various compact spaces.
Juris Steprans - One of the best experts on this subject based on the ideXlab platform.
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the number of translates of a closed Nowhere Dense Set required to cover a polish group
arXiv: Logic, 2004Co-Authors: Arnold W Miller, Juris StepransAbstract:For a Polish group G let cov_G be the minimal number of translates of a fixed closed Nowhere Dense subSet of G required to cover G. For many locally compact G this cardinal is known to be consistently larger than cov(meager) which is the smallest cardinality of a covering of the real line by meagre Sets. It is shown that for several non-locally compact groups cov_G=cov(meager). For example the equality holds for the group of permutations of the integers, the additive group of a separable Banach space with an unconditional basis and the group of homeomorphisms of various compact spaces. Most recent version at: www.math.wisc.edu/~miller
Witold Marciszewski - One of the best experts on this subject based on the ideXlab platform.
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covering a polish group by translates of a Nowhere Dense Set
Topology and its Applications, 2008Co-Authors: Tadeusz Dobrowolski, Witold MarciszewskiAbstract:Abstract We show that, for every nonlocally compact Polish group G with a left-invariant complete metric ρ, we have cov G = cov ( M ) . Here, cov G 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.
