Results 71 to 80 of about 226 (114)
Pseudocompact rectifiable spaces
Topology and its Applications, 2014 A (Hausdorff) topological group \(G\) is called a rectifiable space if there are a homeomorphism \(\varphi : G\times G \rightarrow G\times G\) and an element \(e \in G\) such that \(\pi_1 \circ \varphi =\pi_1\) and for every \(x\in G\) it holds that \(\varphi (x,x)=(x,e)\), where \(\pi_1 : G\times G \rightarrow G\) denotes the projection onto the first
openaire +2 more sources
Relatively realcompact sets and nearly pseudocompact spaces [PDF]
, 1993 summary:A space is said to be nearly pseudocompact iff $vX-X$ is dense in $\beta X-X$. In this paper relatively realcompact sets are defined, and it is shown that a space is nearly pseudocompact iff every relatively realcompact open set is relatively ...
Schommer, John J.
core
A characterization of pseudocompactness
International Journal of Mathematics and Mathematical Sciences, 1982 P. R. Misra, Vinodkumar
doaj +1 more source
Selectively pseudocompact spaces
A novel selection principle was introduced by Dorantes-Aldama and Shakhmatov: a topological space $X$ is termed {\em selectively pseudocompact} if for any sequence $(U_n:n\in ω)$ of pairwise disjoint non-empty open sets of $X$, one can choose points $x_n\in U_n$ such that the sequence $(x_n:n\in ω)$ has an accumulation point.
Juhász, István +2 more
openaire +2 more sources
Heredity of tau-pseudocompactness
, 2005 S. Garcia-Ferreira and H. Ohta gave a construction that was intended to produce a tau-pseudocompact space, which has a regular-closed zero set A and a regular-closed C-embedded set B such that neither A nor B is tau-pseudocompact. We show that although their sets A, B are not regular-closed, there are at least two ways to make their construction work ...
openaire +2 more sources
A characterization of compactness through preferences
The existence of an optimal solution of the standard decision problem can characterize the compactness of the feasible set. It is proved that the feasible set is compact if and only if there is a maximal element for any upper semicontinuous preference ...
Gutiérrez, José Manuel
core