Results 81 to 90 of about 226 (114)
Pseudocompactness and Ultrafilters
Developments in Mathematics, 2018 Since Hewitt (Trans Amer Math Soc 64:54–99 1948, [21]) introduced the notion of pseudocompactness, topologists have generalized or modified it to obtain many new concepts. Our main goal in this survey article is to study some topological and combinatorial aspects of certain pseudocompactness-like properties.
S. García-Ferreira +1 more
exaly +3 more sources
Pseudocompactness and resolvability
Fundamenta Mathematicae, 2018 In this clearly written paper the authors prove that every crowded pseudocompact Tychonoff space of cellularity at most the continuum is resolvable. Recall that a \textit{crowded space} is a topological space without isolated points. A crowded space is \textit{resolvable} [\textit{E. Hewitt}, Duke Math. J.
Ortiz-Castillo, Y. F., Tomita, A. H.
exaly +4 more sources
Some Generalizations of Pseudocompactness
Annals of the New York Academy of Sciences, 1994 ABSTRACT: In this paper, we introduce the concepts of p‐boundedness for pɛω*, (α, M)‐pseudocompactness and (α, M)‐compactness, for a cardinal number α and Ø≠M⊆β(ω)\ω. We prove that Xα is pseudocompact (respectively, countably compact) iff X is (α, M)‐pseudocompact (respectively, (α, M)‐compact), for some Ø≠M⊆β(ω)\ω; the Rudin‐Keisler order on β(ω)\ω ...
SALVADOR GARCÍA‐FERREIRA
exaly +3 more sources
Russian Mathematical Surveys, 1985 The relationships between pseudocompact, countably compact and Baire spaces are investigated. Let \(\chi\) be a cover of a set Y and \(X\subseteq Y\). We put \(St^ 1(X,\gamma)=\cup \{V\in \gamma: V\cap X\neq \emptyset \}\) and \(St^{k+1}(X,\gamma)=St(St^ k(X,\gamma),\gamma)\) for each \(k\in {\mathbb{N}}\).
M V Matveev
openaire +3 more sources
Ultrafilters, monotone functions and pseudocompactness
Archive for Mathematical Logic, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michael Hrusák +2 more
openaire +3 more sources
More generalizations of pseudocompactness
Topology and Its Applications, 2011 We introduce a covering notion depending on two cardinals, which we call O - [ μ, λ ] - compactness, and which encompasses both pseudocompactness and many other known generalizations of pseudocompactness.
Paolo Lipparini
exaly +2 more sources
Pointfree pseudocompactness revisited
Topology and Its Applications, 2007 We give several internal and external characterizations of pseudocompactness in frames which extend (and transcend) analogous characterizations in topological spaces.
Themba Dube
exaly +2 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Applied Categorical Structures, 2007
A Tychonoff space is \textit{weakly pseudocompact} in case it is \(G_{\delta}\)-dense in some of its compactifications [\textit{S. Garcia-Ferreira} and \textit{A. Garcia-Maynez}, ``On weakly-pseudocompact spaces'', Houston J. Math. 20, No. 1, 145--159 (1994; Zbl 0809.54012)]. In the present paper, the authors extend the notion of weak pseudocompactness
Themba Dube, Joanne Walters-Wayland
openaire +1 more source
A Tychonoff space is \textit{weakly pseudocompact} in case it is \(G_{\delta}\)-dense in some of its compactifications [\textit{S. Garcia-Ferreira} and \textit{A. Garcia-Maynez}, ``On weakly-pseudocompact spaces'', Houston J. Math. 20, No. 1, 145--159 (1994; Zbl 0809.54012)]. In the present paper, the authors extend the notion of weak pseudocompactness
Themba Dube, Joanne Walters-Wayland
openaire +1 more source