Results 1 to 10 of about 132,858 (314)
On ∂-partial-locally compact space [PDF]
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]
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
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]
Some new properties and characterizations of C-compact spaces are ...
Atallah Th. Al-Ani
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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
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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Locally compact, b-compact spaces
In this paper, a new class of generalized soft open sets in sof t generalized topological spaces as a generalization of compact spaces, called soft b-compact spaces, is introduced and studied. A soft generalized topological space is soft b-compact if every soft b-open soft cover of FE contains a finite soft subcover.
OZKAN, Alkan +2 more
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Calibers of compact spaces [PDF]
LetXXbe a compact Hausdorff space andκ\kappaits Souslin number.2^{2}We prove that ifα\alphais a cardinal such that eitherα\alphaandcf(α)\operatorname {cf} (\alpha )are greater thanκ\kappaand stronglyκ\kappa-inaccessible or elseα\alphais regular and greater thanκ\kappa, thenXXhas(α,ακ⏝)(\alpha , \sqrt [\underparen {\kappa }]{\alpha })caliber ...
ARGYROS, S, TSARPALIAS, A
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When is the space of semi-additive functionals an absolute (neighbourhood) retract?
In the present paper proved that if for a given compact Hausdorff space X the hyperspace exp(X) is a contractible compact space then the space OSf(X) is also a contractible compact space.
Adilbek Atakhanovich Zaitov +1 more
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On r-Compactness in Topological and Bitopological Spaces
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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