Null-families of subsets of monotonically normal compacta

J. Nikiel; L. Treybig

Displaying similar documents to “Null-families of subsets of monotonically normal compacta”

Semiring of Sets: Examples

Roland Coghetto (2014)

Formalized Mathematics

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This article proposes the formalization of some examples of semiring of sets proposed by Goguadze [8] and Schmets [13].

Countably metacompact spaces in the constructible universe

Paul Szeptycki (1993)

Fundamenta Mathematicae

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We present a construction from ♢* of a first countable, regular, countably metacompact space with a closed discrete subspace that is not a $G_{δ}$ . In addition some nonperfect spaces with σ-disjoint bases are constructed.

Searching for more absolute CR-epic spaces.

Barr, Michael, Kennison, John F., Raphael, R. (2009)

Theory and Applications of Categories [electronic only]

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A little more on the product of two pseudocompact spaces

Eliza Wajch (1996)

Colloquium Mathematicae

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Compactifications of fractal structures.

Arenas, F.G., Sánchez-Granero, M.A. (2004)

Acta Mathematica Universitatis Comenianae. New Series

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Eberlein spaces of finite metrizability number

István Juhász, Zoltán Szentmiklóssy, Andrzej Szymański (2007)

Commentationes Mathematicae Universitatis Carolinae

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Yakovlev [, Comment. Math. Univ. Carolin. (1980), 263–283] showed that any Eberlein compactum is hereditarily $σ$ -metacompact. We show that this property actually characterizes Eberlein compacta among compact spaces of finite metrizability number. Uniformly Eberlein compacta and Corson compacta of finite metrizability number can be characterized in an analogous way.

On D-dimension of metrizable spaces

Wojciech Olszewski (1991)

Fundamenta Mathematicae

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For every cardinal τ and every ordinal α, we construct a metrizable space $M_{α} (τ)$ and a strongly countable-dimensional compact space $Z_{α} (τ)$ of weight τ such that $D (M_{α} (τ)) \leq α$ , $D (Z_{α} (τ)) \leq α$ and each metrizable space X of weight τ such that D(X) ≤ α is homeomorphic to a subspace of $M_{α} (τ)$ and to a subspace of $Z_{α + 1} (τ)$ .

On $ω_{*}$ -closed sets and their topology.

Ekici, Erdal, Jafari, Saeid (2010)

Acta Universitatis Apulensis. Mathematics - Informatics

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Algebras of Borel measurable functions

Michał Morayne (1992)

Fundamenta Mathematicae

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We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.