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arXiv · 0801.1904

Open maps having the Bula property

Valentin Gutev·Vesko Valov
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Abstract

Every open continuous map f from a space X onto a paracompact C-space Y admits two disjoint closed subsets of X so that their image by f is Y 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.

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Valentin Gutev, Vesko Valov. 2008-01-12. Open maps having the Bula property. https://doi.org/10.4064/fm205-2-1

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