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On Some Closed Sets and Low Separation Axioms Via Topological Ideals

Social Science Research Network, 2022
This paper deals with the concepts of Λp(⋆)-sets and (Λ, p(⋆))-closed sets which are defined by utilizing the notions of pre-I -open sets and pre-I -closed sets.
C. Boonpok
semanticscholar   +1 more source

Fibrewise totally separation axioms

Journal of Interdisciplinary Mathematics, 2022
The purpose of this paper is to introduce and study fiberwise totally separation axioms which are generlization of separation axioms in ordinary topology called fibrewise totally T 0, (resp., T 1, R 0, Hausdorff, functionally Hausdorff, regular ...
Amira R. Kadzam, Y. Y. Yousif
semanticscholar   +1 more source

On Neutrosophic Generalized Alpha Generalized Separation Axioms

International journal of neutrosophic science, 2022
The paper provided a new notion of neutrosophic separation axioms as neutrosophic gαg-Ri-space neutrosophic gαg-Tj-space (note that the indexes i j are natural numbers of the spaces R T are from 0 to 1 from 0 to 2 alternately).
M. M. Abdulkadhim   +3 more
semanticscholar   +1 more source

Computable soft separation axioms

Mathematical Structures in Computer Science, 2023
AbstractSoft sets were introduced as a means to study objects that are not defined in an absolute way and have found applications in numerous areas of mathematics, decision theory, and in statistical applications. Soft topological spaces were first considered in Shabir and Naz ((2011).
Salah M. Elsayed, Keng Meng Ng
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Some types of fuzzy separation axioms in fuzzy topological space on fuzzy set

PROCEEDING OF THE 1ST INTERNATIONAL CONFERENCE ON ADVANCED RESEARCH IN PURE AND APPLIED SCIENCE (ICARPAS2021): Third Annual Conference of Al-Muthanna University/College of Science, 2022
The aim of this paper to introduce and study fuzzy 𝛿 -open set and the relations of some other class of fuzzy open sets like (R-open set, 𝜃 -open set, 𝛾 -open set, ∆ -open set), introduce and study some types of fuzzy 𝛿 -separation axioms in fuzzy ...
M. A. Alkhafaji, D. R. Abd
semanticscholar   +1 more source

A Definition of Separation Axiom

Canadian Mathematical Bulletin, 1974
Several separation axioms, defined in terms of continuous functions, were examined by van Est and Freudenthal [3], in 1951. Since that time, a number of new topological properties which were called separation axioms were defined by Aull and Thron [1], and later by Robinson and Wu [2], This paper gives a general definition of separation axiom, defined ...
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Nice separation axioms

Applied Categorical Structures, 1994
First is shown that if \({\mathcal B}\) is an epireflective subcategory of all locales, and \({\mathcal B}\) is generated by a nice locale \(B\), then every \(A\in {\mathcal B}\) containing \(B\) as a retract is an Isbell locale (i.e., it is a regular cogenerator for a certain subcategory).
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Separation axioms

2013
The classical (point-set) topology concerns points and relationships between points and subsets. Omitting points and considering only the structure of open sets leads to the notion of frames, that is, a complete lattice satisfying the dis- tributive law b ∧ A = {b ∧ a | a ∈ A}, the crucial concept of point-free topology.
  +5 more sources

A fuzzy R1 separation axiom

Information Sciences, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Kandil   +2 more
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Hybrid Logics of Separation Axioms

Journal of Logic, Language and Information, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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