Displaying similar documents to “Strongly determined types and G-compactness”

Absolutely strongly star-Hurewicz spaces

Yan-Kui Song (2015)

Open Mathematics

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A space X is absolutely strongly star-Hurewicz if for each sequence (Un :n ∈ℕ/ of open covers of X and each dense subset D of X, there exists a sequence (Fn :n ∈ℕ/ of finite subsets of D such that for each x ∈X, x ∈St(Fn; Un) for all but finitely many n. In this paper, we investigate the relationships between absolutely strongly star-Hurewicz spaces and related spaces, and also study topological properties of absolutely strongly star-Hurewicz spaces.

Range of a contractive strongly positive projection in a C*-algebra

Andrzej Łuczak (2015)

Colloquium Mathematicae

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We generalize a result of Choi and Effros on the range of a contractive completely positive projection in a C*-algebra to the case when this projection is only strongly positive using, moreover, an elementary argument instead of a 2×2-matrix technique.

Remarks on strongly star-Menger spaces

Yan-Kui Song (2013)

Commentationes Mathematicae Universitatis Carolinae

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A space X is strongly star-Menger if for each sequence ( 𝒰 n : n ∈ ℕ ) of open covers of X , there exists a sequence ( K n : n ∈ N ) of finite subsets of X such that { S t ( K n , 𝒰 n ) : n ∈ ℕ } is an open cover of X . In this paper, we investigate the relationship between strongly star-Menger spaces and related spaces, and also study topological properties of strongly star-Menger spaces.

A topology over a set of systems

Gaspar Martínez Mora (1996)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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The systems of an arbitrary number of linear inequalities OVer a real locally convex space have been classified in three classes, namely: consistent, weakly inconsistent and strongly inconsistent, i.e. having ordinary solutions, weak solutions or notsolutions respectively. In this paper, the third type is divided in two classes: strict-strongly and quasi-strongly inconsistent and is given a topology over a quotient space of the set of systems over finite- dimensional spaces, that yields...

Quotients of Strongly Realcompact Groups

L. Morales, M. Tkachenko (2016)

Topological Algebra and its Applications

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A topological group is strongly realcompact if it is topologically isomorphic to a closed subgroup of a product of separable metrizable groups. We show that if H is an invariant Čech-complete subgroup of an ω-narrow topological group G, then G is strongly realcompact if and only if G/H is strongly realcompact. Our proof of this result is based on a thorough study of the interaction between the P-modification of topological groups and the operation of taking quotient groups.