Results 11 to 20 of about 132,858 (314)
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
Proceedings of the American Mathematical Society, 1989 A new class of H H -closed spaces, herein referred to as the class of adherent compact spaces, is introduced—and shown to be properly contained in the class of C C -compact spaces. It is also shown, using a construction of Goss and Viglino, that these spaces need not be seminormal.
openaire +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
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
مجلة بغداد للعلوم, 2008 The aim of this paper is to introduces and study the concept of CSO-compact space via the notation of simply-open sets as well as to investigate their relationship to some well known classes of topological spaces and give some of his properties.
Baghdad Science Journal
doaj +1 more source
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
Transactions of the American Mathematical Society, 1970 A directed space is a partially ordered topological space in which each two elements have a common predecessor. It is a consequence of a theorem of A. D. Wallace that a compact directed space is acyclic if each of its principal ideals is acyclic. This result is extended by considering the situation where at most finitely many principal ideals are not ...
openaire +2 more sources
COMPUTABLY COMPACT METRIC SPACES
The Bulletin of Symbolic Logic, 2023 AbstractWe give a systematic technical exposition of the foundations of the theory of computably compact metric spaces. We discover several new characterizations of computable compactness and apply these characterizations to prove new results in computable analysis and effective topology.
RODNEY G. DOWNEY, ALEXANDER G. MELNIKOV
openaire +2 more sources
Almost periodic mild solutions for stochastic delay functional. differential equations driven by a fractional Brownian motion [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 In this paper we investigate the existence and stability of quadratic-mean almost periodic mild solutions to stochastic delay functional differential equations driven by fractional Brownian motion with Hurst parameter H > 1/2 , under some suitable ...
Toufik Guendouzi,, Khadem Mehdi
doaj