Article ID Journal Published Year Pages File Type
4660789 Topology and its Applications 2008 6 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology