0 M ay 2 00 7 CONTINUOUS SELECTIONS AND σ - SPACES
نویسنده
چکیده
Assume that X is a metrizable separable space, and each clopen-valued lower semicontinuous multivalued map Φ : X ⇒ Q has a continuous selection φ : X → Q. 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.
منابع مشابه
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