On nearly strongly paracompact and almost-strongly paracompact spaces.
I. Kovacevic (1978)
Publications de l'Institut Mathématique [Elektronische Ressource]
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I. Kovacevic (1978)
Publications de l'Institut Mathématique [Elektronische Ressource]
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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. ...
I. Kovacevic (1980)
Publications de l'Institut Mathématique [Elektronische Ressource]
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John E. Porter (2003)
Commentationes Mathematicae Universitatis Carolinae
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A space is said to be if there is a basis for with such that every open cover of has a star-finite open refinement by members of . Strongly paracompact spaces which are strongly base-paracompact are studied. Strongly base-paracompact spaces are shown have a family of functions with cardinality equal to the weight such that every open cover has a locally finite partition of unity subordinated to it from .
Singal, M. K.
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Teodor Przymusiński (1981)
Fundamenta Mathematicae
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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.
Aull, C. E.
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R. Telgársky, H. Kok (1971)
Fundamenta Mathematicae
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