Maps Having the Bula Property
نویسنده
چکیده
Every open continuous map f from a space X onto a paracompact C-space Y admits two disjoint closed sets F0, F1 ⊂ X , with f(F0) = Y = f(F1), provided all fibers of f are infinite and C∗-embedded in X . Applications are demonstrated for the existence of “disjoint” usco multiselections of set-valued l.s.c. mappings defined on paracompact C-spaces, and for special type of factorizations of open continuous maps from metrizable spaces onto paracompact C-spaces. This settles several open questions raised in [13].
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