Results 1 to 10 of about 77 (67)

A characterization of pseudocompactness [PDF]

International Journal of Mathematics and Mathematical Sciences, 1981
It is proved here that a completely regular Hausdorff space X is pseudocompact if and only if for any continuous function f from X to a pseudocompact space (or a compact space) Y, f*ϕ is z-ultrafilter whenever ϕ is a z-ultrafilter on X.
Prabduh Ram Misra, Vinodkumar
doaj   +5 more sources

Pseudocompactness of hyperspaces

Topology and Its Applications, 2007
Pour tout espace \(X\), soit \(2^X\) l'espace des fermés non vides de \(X\) muni de la topologie de Vietoris. Les auteurs étudient la question de savoir si la pseudocompacité du produit dénombrable \(X^\omega\) entraîne la pseudocompacité de \(2^X\), et construisent un exemple montrant que ce n'est pas toujours le cas. Ils considèrent en particulier le
Michael Hruśák
exaly   +2 more sources

On pseudocompactness and related notions in ZF [PDF]

Commentationes Mathematicae Universitatis Carolinae, 2018
It is well-known that some topological properties and implications/non-implications among them are closely related with certain set theories. Let ZF denote the Zermelo-Fraenkel set theory and let ZFC be the set theory ZF together with the axiom of choice AC.
exaly   +3 more sources

Compactification of Spaces of Measures and Pseudocompactness

Doklady Mathematics
We prove pseudocompactness of a Tychonoff space X and the space P(X) of Radon probability measures on it with the weak topology under the condition that the Stone–ech compactification of the space P(X) is homeomorphic to the space P(βX) of Radon probability measures on the Stone–ech compactification of the space X.
V I Bogachev, Bogachev V I
exaly   +3 more sources

On resolvability, connectedness and pseudocompactness

Acta Mathematica Hungarica
12 pages, no figures, minor ...
exaly   +4 more sources

Pseudocompactness and uniform continuity in topological groups [PDF]

Pacific Journal of Mathematics, 1966
W Wistar Comfort
exaly   +3 more sources

Selectively Pseudocompact Groups without Infinite Separable Pseudocompact Subsets [PDF]

Axioms, 2018
We give a “naive” (i.e., using no additional set-theoretic assumptions beyond ZFC, the Zermelo-Fraenkel axioms of set theory augmented by the Axiom of Choice) example of a Boolean topological group G without infinite separable pseudocompact subsets having the following “selective” compactness property: For each free ultrafilter p on the set N of ...
Dmitri Shakhmatov, Víctor Hugo Yañez
openaire   +3 more sources

Non-Abelian Pseudocompact Groups [PDF]

Axioms, 2016
Here are three recently-established theorems from the literature. (A) (2006) Every non-metrizable compact abelian group K has 2|K| -many proper dense pseudocompact subgroups. (B) (2003) Every non-metrizable compact abelian group K admits 22|K| -many strictly finer ...
W. Comfort, Dieter Remus
openaire   +3 more sources

A note on weakly pseudocompact locales

Applied General Topology, 2017
We revisit weak pseudocompactness in pointfree topology, and show that a locale is weakly pseudocompact if and only if it is Gδ-dense in some compactification.
Themba Dube
doaj   +1 more source

Pseudofinite and Pseudocompact Metric Structures [PDF]

Notre Dame Journal of Formal Logic, 2015
Second version. Some typos fixed.
Goldbring, Isaac, Lopes, Vinicius Cifú
openaire   +3 more sources