Displaying similar documents to “Strongly paracompact metrizable spaces”

Open maps having the Bula property

Valentin Gutev, Vesko Valov (2009)

Fundamenta Mathematicae

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An 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 given to the existence of "disjoint" usco multiselections of set-valued l.s.c. mappings defined on paracompact C-spaces, and to special type of factorizations of open continuous maps from metrizable spaces onto paracompact C-spaces. This settles several open questions. ...

Strongly base-paracompact spaces

John E. Porter (2003)

Commentationes Mathematicae Universitatis Carolinae

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A space X is said to be if there is a basis ℬ for X with | ℬ | = w ( X ) such that every open cover of X has a star-finite open refinement by members of ℬ . Strongly paracompact spaces which are strongly base-paracompact are studied. Strongly base-paracompact spaces are shown have a family of functions ℱ with cardinality equal to the weight such that every open cover has a locally finite partition of unity subordinated to it from ℱ .

Selections, Paracompactness and Compactness

Choban, Mitrofan M., Mihaylova, Ekaterina P., Nedev, Stoyan I. (2010)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 54C60, 54C65, 54D20, 54D30. In the present paper the Lindelöf number and the degree of compactness of spaces and of the cozero-dimensional kernel of paracompact spaces are characterized in terms of selections of lower semi-continuous closed-valued mappings into complete metrizable (or discrete) spaces.