168 research outputs found
Skeletally generated spaces and absolutes
Some properties of skelatally generated spaces are established. In
particular, it is shown that any compactum co-absolute to a -metrizable
compactum is skeletally generated. We also prove that a compactum is
skeletally generated if and only if its superextension is
skeletally Dugundji and raise some natural questions.Comment: 9 page
Sections, Selections and Prohorov's Theorem
The famous Prohorov theorem for Radon probability measures is generalized in
terms of usco mappings. In the case of completely metrizable spaces this is
achieved by applying a classical Michael result on the existence of usco
selections for l.s.c. mappings. A similar approach works when sieve-complete
spaces are considered
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