Moscow spaces and selection theory |
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| Authors: | M. Sanchis |
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| Affiliation: | Departament de Matemàtiques, Universitat Jaume I, Campus del Riu Sec. s/n, 12071 Castelló, Spain |
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| Abstract: | A well-known result on Moscow spaces states that every Gδ-dense subset of a Moscow space X is C-embedded in X. We present here the selection version of this result and also (by means of two different approaches) we use selection theory to characterize the open bounded subsets of a uniform space (X,U) in the case when its completion is a Moscow space. |
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| Keywords: | primary, 54C65 secondary, 54C45, 54G99 |
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