Results 1 to 10 of about 4,438,790 (210)
On ∂-partial-locally compact space [PDF]
Mathematics and Computational Sciences, 2023 The aim of this paper is to introduce and give preliminary investigation of ∂-partial-locally compact spaces. Locally compactness and ∂-partial-locally compactness are independent of each other.
Aliakbar Alijani
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Remarks on monotonically star compact spaces [PDF]
Mathematica Bohemica, 2022 A space $ X $ is said to be monotonically star compact if one assigns to each open cover $ \mathcal{U} $ a subspace $ s(\mathcal{U}) \subseteq X $, called a kernel, such that $ s(\mathcal{U}) $ is a compact subset of $ X $ and $ {\rm St}(s(\mathcal{U ...
Sumit Singh
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Some classes of topological spaces related to zero-sets
Applied General Topology, 2022 An almost P-space is a topological space in which every zero-set is regular-closed. We introduce a large class of spaces, C-almost P-space (briefly CAP-space), consisting of those spaces in which the closure of the interior of every zero-set is a zero ...
F. Golrizkhatami, Ali Taherifar
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New Characterizations of C-compact Spaces [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2009 Some new properties and characterizations of C-compact spaces are ...
Atallah Th. Al-Ani
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Compactness in Metric Spaces [PDF]
Formalized Mathematics, 2016 Summary In this article, we mainly formalize in Mizar [2] the equivalence among a few compactness definitions of metric spaces, norm spaces, and the real line. In the first section, we formalized general topological properties of metric spaces.
Nakasho, Kazuhisa +2 more
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مجلة جامعة الانبار للعلوم الصرفة, 2009 Lindelof spaces, using multifunctions, are given.Our main results are .A space X is z-compact iff for every space Y and z-closed graph multifunction on X into Y the image of every z-closed set in X, is closed in Y. A space X is z-Lindelof iff for every P-
Atallah Th. Al-Ani
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On elementary soft compact topological spaces
MANAS: Journal of Engineering, 2021 This paper is a work on elementary soft (𝜖-soft) compact spaces. We first define the cofinite 𝜖-soft compact space and prove that the image of an 𝜖-soft compact space under a soft continuousmapping is 𝜖-soft compact space.
Arzıgul İmankulova, İsmet Altıntaş
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Calibers of compact spaces [PDF]
Transactions of the American Mathematical Society, 1982 Let X X be a compact Hausdorff space and
ARGYROS, S, TSARPALIAS, A
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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
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Journal of Symbolic Logic, 1998 AbstractIn this paper we show that the compactness of a Loeb space depends on its cardinality, the nonstandard universe it belongs to and the underlying model of set theory we live in. In §1 we prove that Loeb spaces are compact under various assumptions, and in §2 we prove that Loeb spaces are not compact under various other assumptions.
Renling Jin, Saharon Shelah
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