Topological calculus for separating points from closed sets by maps

Javier Gutiérrez García; Tomasz Kubiak

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Every weakly initially $𝔪$ -compact topological space is $𝔪$ pcap

Paolo Lipparini (2011)

Czechoslovak Mathematical Journal

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The statement in the title solves a problem raised by T. Retta. We also present a variation of the result in terms of $[μ, κ]$ -compactness.

$T_{(α, β)}$ -spaces and the Wallman compactification.

Belaid, Karim, Echi, Othman, Lazaar, Sami (2004)

International Journal of Mathematics and Mathematical Sciences

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A function space C(K) not weakly homeomorphic to C(K)×C(K)

Witold Marciszewski (1988)

Studia Mathematica

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A note on $r$ -embeddings

Luciano Stramaccia (1995)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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A very general covering property

Paolo Lipparini (2012)

Commentationes Mathematicae Universitatis Carolinae

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We introduce a general notion of covering property, of which many classical definitions are particular instances. Notions of closure under various sorts of convergence, or, more generally, under taking kinds of accumulation points, are shown to be equivalent to a covering property in the sense considered here (Corollary 3.10). Conversely, every covering property is equivalent to the existence of appropriate kinds of accumulation points for arbitrary sequences on some fixed index set...

Displaying similar documents to “Topological calculus for separating points from closed sets by maps”

Every weakly initially 𝔪 -compact topological space is 𝔪 pcap

T ( α , β ) -spaces and the Wallman compactification.

A function space C(K) not weakly homeomorphic to C(K)×C(K)

A note on r -embeddings

A very general covering property

Every weakly initially $𝔪$ -compact topological space is $𝔪$ pcap

$T_{(α, β)}$ -spaces and the Wallman compactification.

A note on $r$ -embeddings