Results 101 to 110 of about 43,488 (132)

\(sg\)-separation axioms

2007
Summary: \textit{N. Levine} [Rend. Circ. Mat. Palermo, II. Ser. 19, 89--96 (1970; Zbl 0231.54001)] introduced the notion of generalized closed (abbreviated as \(g\)-closed). The complement of a \(g\)-closed set is called \(g\)-open. The purpose of the present work is to define and study new separation axioms using \(g\)-open sets.
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On \(m\)-\(D\)-separation axioms

2012
Summary: We introduce the notions of \(m\)-\(D\)-sets and some lower separation axioms \(m\)-\(D_i\) (\(i=0,1,2\)) on \(m\)-structures, which are weaker than topological structures, and obtain a unified theory of separation axioms \(D_i\), \(s\)-\(D_i\), \(p\)-\(D_i\), \(\theta\)-\(D_i\), \(\delta\)-semi\(D_i\), \(\delta\)-pre\(D_i\) (\(i=0,1,2\)) in ...
NOIRI, Takashi, POPA, Valeriu
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Notes on separation axioms in hyperspaces

2000
Usually, hyperspace topologies are studied in \(T_1\)-spaces but in this paper no separation axioms are assumed. Moreover, the authors start with general proximities in the base space in sharp contrast to most of the literature where only metric proximities are considered.
DI CAPRIO D, MECCARIELLO E
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Enriched lower separation axioms and the principle of enriched continuous extension

Fuzzy Sets and Systems, 2023
Igor Arrieta, Javier Gutierrez Garcia, Ulrich Hohle   +2 more
exaly  

On Some Generalized Topologies Satisfying all Separation Axioms

Results in Mathematics, 2023
Jacek Hejduk, Anna Loranty
exaly  

Separation axioms and covering dimension of asymmetric normed spaces

Quaestiones Mathematicae, 2020
Natalia Jonard-Pérez
exaly  

Unification of some separation axioms.

2002
For fuzzy topological spaces, operations as a unifying concept was studied by several authors, e.g., see [\textit{A. Kandil}, \textit{E. E. Kerre} and \textit{A. A. Nouh}, Ann. Soc. Sci. Bruxelles, Sér. I 105, 167--188 (1991; Zbl 0761.54003); \textit{E. E. Kerre}, \textit{A. A. Nouh} and \textit{A. Kandil}, J. Math. Anal. Appl. 180, 325--341 (1993; Zbl
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On some separation axioms

2011
Relations between pairs of separation axioms are considered. Given two separation axioms, it is investigated whether or not a topological space having the property of one of the separation axioms has the property of the other. Eighteen separation axioms are considered and the relation between the members of pairs of separation axioms is determined in ...
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Separation Axioms

2011
Jorge Picado, Aleš Pultr
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A novel class of bipolar soft separation axioms concerning crisp points

Demonstratio Mathematica, 2023
Baravan A Asaad, Sagvan Y Musa
exaly