On quasi -open and quasi -closed functions.

Rajesh, N.; E.Ekici

Displaying similar documents to “On quasi $\tilde{g} s$ -open and quasi $\tilde{g} s$ -closed functions.”

A property of quasi-complements

Robert H. Lohman (1974)

Colloquium Mathematicae

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On the geometric definition of the quasi-conformality

Cabiria Andreian Cazacu (1981)

Annales Polonici Mathematici

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On quasi-p-bounded subsets

M. Sanchis, A. Tamariz-Mascarúa (1999)

Colloquium Mathematicae

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The notion of quasi-p-boundedness for p ∈ $ω^{*}$ is introduced and investigated. We characterize quasi-p-pseudocompact subsets of β(ω) containing ω, and we show that the concepts of RK-compatible ultrafilter and P-point in $ω^{*}$ can be defined in terms of quasi-p-pseudocompactness. For p ∈ $ω^{*}$ , we prove that a subset B of a space X is quasi-p-bounded in X if and only if B × $P_{R K} (p)$ is bounded in X × $P_{R K} (p)$ , if and only if $c l_{β (X \times P_{R K} (p))} (B \times P_{R K} (p)) = c l_{β X} B \times β (ω)$ , where $P_{R K} (p)$ is the set of Rudin-Keisler predecessors of p.