Results 11 to 20 of about 68 (65)
Delta and Theta Generalized Closed Sets in Bitopological Spaces [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2016 In this paper we introduce new two types of generalized closed sets in bitopologicalspaces and study some of it's properties and it's relations with other kinds ofgeneralized closed sets.
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The characterizations of upper approximation operators based on special coverings
Open Mathematics, 2017 In this paper, we discuss the approximation operators apr¯NS${\overline {apr} _{NS}}$ and apr¯S${\overline {apr} _S}$ which are based on NS(U) and S.
Wang Pei, Li Qingguo
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Kuratowski Monoids of n-Topological Spaces
Topological Algebra and its Applications, 2018 Generalizing the famous 14-set closure-complement Theorem of Kuratowski from 1922, we prove that for a set X endowed with n pairwise comparable topologies Ʈ1 ⊂ · · · ⊂ Ʈn, by repeated application of the operations of complement and closure in the ...
Banakh Taras +5 more
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Properties of some ∗‐dense‐in‐itself subsets
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 72, Page 3989-3999, 2004., 2004 ℐ‐open sets were introduced and studied by Janković and Hamlett (1990) to generalize the well‐known Banach category theorem. Quasi‐ℐ‐openness was introduced and studied by Abd El‐Monsef et al. (2000). These are ∗‐dense‐in‐itself sets of the ideal spaces. In this note, properties of these sets are further investigated and characterizations of these sets
V. Renuka Devi +2 more
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An extension theorem for sober spaces and the Goldman topology
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 51, Page 3217-3239, 2003., 2003 Goldman points of a topological space are defined in order to extend the notion of prime G‐ideals of a ring. We associate to any topological space a new topology called Goldman topology. For sober spaces, we prove an extension theorem of continuous maps.
Ezzeddine Bouacida +3 more
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γ‐sets and γ‐continuous functions
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 3, Page 177-181, 2002., 2002 We introduce a new class of sets, called γ‐sets, and the notion of γ‐continuity and investigate some properties and characterizations. In particular, γ‐sets and γ‐continuity are used to extend known results for semi‐open sets and semi‐continuity.
Won Keun Min
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International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 7, Page 387-399, 2002., 2002 Neighborhood spaces, pretopological spaces, and closure spaces are topological space generalizations which can be characterized by means of their associated interior (or closure) operators. The category NBD of neighborhood spaces and continuous maps contains PRTOP as a bicoreflective subcategory and CLS as a bireflective subcategory, whereas TOP is ...
D. C. Kent, Won Keun Min
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Semi-Hurewicz-Type properties in ditopological texture spaces
Open Mathematics, 2018 In this paper we will define and discuss semi-Hurewicz type covering properties in ditopological texture spaces. We consider the behaviour of semi-Hurewicz and co-semi-Hurewicz selection properties under direlation and difunction between ditopological ...
Ullah Hafiz, Khan Moiz ud Din
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Regular‐uniform convergence and the open‐open topology
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 5, Page 357-360, 2001., 2001 In 1994, Bânzaru introduced the concept of regular‐uniform, or r‐uniform, convergence on a family of functions. We discuss the relationship between this topology and the open‐open topology, which was described in 1993 by Porter, on various collections of functions.
Kathryn F. Porter
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Open Mathematics, 2016 A quantale is a complete lattice equipped with an associative binary multiplication distributing over arbitrary joins. We define the notions of right (left, two) sided derivation and idempotent derivation and investigate the properties of them. It’s well
Xiao Qimei, Liu Wenjun
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