Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660789 | Topology and its Applications | 2008 | 6 Pages |
Abstract
Assume that X⊆R∖Q, and each clopen-valued lower semicontinuous multivalued map has a continuous selection . Our main result is that in this case, X is a σ-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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Mathematics
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