Results 21 to 30 of about 6,651,322 (372)
On r-Compactness in Topological and Bitopological Spaces
Axioms, 2023 This paper defines the so-called pairwise r-compactness in topological and bitopological spaces. In particular, several inferred properties of the r-compact spaces and their connections with other topological and bitopological spaces are studied ...
Jamal Oudetallah +2 more
doaj +1 more source
On Compact ∗ Spaces and Compactifications [PDF]
Proceedings of the American Mathematical Society, 1974 The space β X \beta X of Z Z -ultrafilters on X X with the standard filter space topology is shown to be compact*. Without considering the reflection associated with compact* spaces, we also prove that products of compact* spaces are compact*, in response to a request for a direct ...
openaire +2 more sources
Journal of Kufa for Mathematics and Computer, 2011 Using the concept of H-open set, we introduce the concept of H-compact space. Several properties of H-compact spaces are proved , among these are: • H-closed subset of H-compact is     H-compact.
Hussein Kadhum Asker
doaj +1 more source
Locally rich compact sets [PDF]
, 2015 We construct a compact metric space that has any other compact metric space as a tangent, with respect to the Gromov-Hausdorff distance, at all points. Furthermore, we give examples of compact sets in the Euclidean unit cube, that have almost any other ...
Chen, Changhao, Rossi, Eino
core +1 more source
On open well-filtered spaces [PDF]
Logical Methods in Computer Science, 2020 We introduce and study a new class of $T_0$ spaces, called open well-filtered spaces. The main results we proved include (1) every well-filtered space is an open well-filtered space; (2) every core-compact open well-filtered space is sober.
Chong Shen +3 more
doaj +1 more source
The Hausdorff Algebra Fuzzy Distance and its Basic Properties [PDF]
Engineering and Technology Journal, 2021 In this article we recall the definition of algebra fuzzy metric space and its basic properties. In order to introduced the Hausdorff algebra fuzzy metric from fuzzy compact set to another fuzzy compact set we define the algebra fuzzy distance between ...
Zainab Khudhair, Jehad Kider
doaj +1 more source
Locally compact space and continuity
Bibechana, 2010 Topological spaces for being T0, T1, T2 and regular space have been discussed. The conditions for a topological space to be locally compact have also been studied. We have found that a continuous function preserves locally compactness.
Shitanshu Shekhar Choudhary +1 more
doaj +3 more sources
A class of spaces containing all generalized absolutely closed (almost compact) spaces
Applied General Topology, 2006 The class of θ-compact spaces is introduced which properly contains the class of almost compact (generalized absolutely closed) spaces and is strictly contained in the class of quasicompact spaces.
J.K. Kohli, A.K. Das
doaj +1 more source
On Compactness in Function Spaces [PDF]
Proceedings of the American Mathematical Society, 1972 There are shown some implications from pseudocompactness to compactness or sequential compactness. The latter, sequential compactness, is obtained via metrization.
openaire +3 more sources