Results 11 to 20 of about 560 (152)
Weakly metrizable pseudocompact groups [PDF]
Applied General Topology, 2006 We study various weaker versions of metrizability for pseudocompact abelian groups G: singularity (G possesses a compact metrizable subgroup of the form mG, m > 0), almost connectedness (G is metrizable modulo the connected component) and various ...
Dikran Dikranjan +2 more
doaj +2 more sources
Spaces whose Pseudocompact Subspaces are Closed Subsets [PDF]
Applied General Topology, 2004 Every first countable pseudocompact Tychonoff space X has the property that every pseudocompact subspace of X is a closed subset of X (denoted herein by “FCC”).
Alan Dow +3 more
doaj +2 more sources
On the maximal G-compactification of products of two G-spaces
International Journal of Mathematics and Mathematical Sciences, 2006 Let G be any Hausdorff topological group and let βGX denote the maximal G-compactification of a G-Tychonoff space X. We prove that if X and Y are two G-Tychonoff spaces such that the product X×Y is pseudocompact, then βG(X×Y)=βGX×βGX.
Natella Antonyan
doaj +2 more sources
A Note on Pseudocompact Groups [PDF]
Proceedings of the American Mathematical Society, 1989 A question of W. W. Comfort and J. van Mill on pseudocompact groups is answered.
Robbert Fokkink
openaire +3 more sources
Purity of the ideal of continuous functions with pseudocompact support
International Journal of Mathematics and Mathematical Sciences, 2002 Let CΨ(X) be the ideal of functions with pseudocompact support and let kX be the set of all points in υX having compact neighborhoods. We show that CΨ(X) is pure if and only if βX−kX is a round subset of βX, CΨ(X) is a projective C(X)-module if and ...
Emad A. Abu Osba
doaj +2 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 +3 more sources
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 +2 more sources
Some properties of the ideal of continuous functions with pseudocompact support
International Journal of Mathematics and Mathematical Sciences, 2001 Let C(X) be the ring of all continuous real-valued functions defined on a completely regular T1-space. Let CΨ(X) and CK(X) be the ideal of functions with pseudocompact support and compact support, respectively.
E. A. Abu Osba, H. Al-Ezeh
doaj +2 more sources
Functions with pseudocompact support
General Topology and its Applications, 1973 AbstractLet X be a completely regular Hausdorff space, C(X) the ring of real-valued continuous functions on X, CK the ideal of functions with compact support, I the intersection of the free maximal ideals of C(X), and Cψ the ideal of functions with pseudocompact support. For any space, CK ⊆ I ⊆ Cψ. When CK = I, or I = Cψ, or CK = Cψ , it is said that X
Johnson, D.G., Mandelker, Mark
openaire +3 more sources
Differential graded Koszul duality: An introductory survey
Bulletin of the London Mathematical Society, Volume 55, Issue 4, Page 1551-1640, August 2023., 2023 Abstract This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based on the author's memoir L. Positselski, Memoirs of the American Math. Society 212 (2011), no. 996, vi+133. The paper is intended to serve as a pedagogical introduction and a summary of the covariant duality between DG‐algebras and curved DG‐coalgebras, as ...
Leonid Positselski
wiley +1 more source