Continuous selections and sigma-spaces

Details Continuous selections and sigma-spaces Continuous selections and sigma-spaces

2007-05-20

arxiv.org/abs/0705.2867v3

Topology Appl. 156:1 (2008), 104-109

Mathematics

General Topology

Scientific paper

10.1016/j.topol.2008.03.025

Assume that X is a metrizable separable space, and each clopen-valued lower
semicontinuous multivalued map Phi from X to Q has a continuous selection. Our
main result is that in this case, X is a sigma-space. We also derive a partial
converse implication, and present a reformulation of the Scheepers Conjecture
in the language of continuous selections.

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