Results 51 to 60 of about 226 (114)
On Compactness in Function Spaces
, 1972 There are shown some implications from pseudocompactness to compactness or sequential compactness.
Giovanni Vidossich, Vidossich, Giovanni
core +1 more source
Pseudocompact groups: progress and problems
Topology and its Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Weakly pseudocompact subsets of nuclear groups
, 1999 Let G be an Abelian topological group and G+ the group G endowed with the weak topology induced by continuous characters. We say that G respects compactness (pseudocompactness, countable compactness, functional boundedness) if G and G+ have the same ...
Martín Peinador, Elena +3 more
core +1 more source
On nearly pseudocompact spaces
Topology and its Applications, 1980 AbstractA completely regular space X is called nearly pseudocompact if υX−X is dense in βX−X, where βX is the Stone-Čech compactification of X and υX is its Hewitt realcompactification. After characterizing nearly pseudocompact spaces in a variety of ways, we show that X is nearly pseudocompact if it has a dense locally compact pseudocompact subspace ...
Henriksen, Melvin, Rayburn, Marlon C.
openaire +1 more source
Pointfree pseudocompactness revisited
, 2009 We give several internal and external characterizations of pseudocompactness in frames which extend (and transcend) analogous characterizations in topological spaces.
Dube, T, Matutu, Phethiwe P
core
, 1997 For an infinite cardinal α, we say that a subset B of a space X is Cα-compact in X if for every continuous function f : X → Rα, [B] is a compact subset of Rα. This concept slightly generalizes the notion of α-pseudocompactness introduced by J.F. Kennison:
García-Ferreira, S. +2 more
core +1 more source
Some new characterizations of pointree pseudocompactness
, 2013 Click on the link to view the abstract.Keywords: Completely regular frame, zero-dimensional frame, continuous functions in pointfree topology, pseudocompactness, countably almost compactness, cozero part of a frame, σ-frame.Quaestiones Mathematicae 36 ...
Sioen, Mark +2 more
core
Zero-set spaces and Pseudocompactness
, 2023 We are concerned in this thesis with the intrinsic properties of zero-set spaces and their relationship to other topological-type structures. Our definition of a z-space coincides with that of Gordon's zero set space without the point separation axiom ...
Gilmour, Christopher
core
A note on relative pseudocompactness in the category of frames
, 2012 A subspace $S$ of Tychonoff space $X$ is relatively pseudocompact in $X$ if every $f\in C(X)$ is bounded on $S$. As is well known, this property is characterisable in terms of the functor $\upsilon$ which reflects Tychonoff spaces onto the realcompact ...
Dube, Themba
core
Countable compactness of hyperspaces and Ginsburg's questions
, 2004 In this paper, we study the countable compactness and pseudocompactness of the hyperspace 2X of a Hausdorff space X consisting of all nonempty closed subsets of X equipped with the Vietoris topology.
Cao, Jiling +2 more
core +1 more source