Results 1 to 10 of about 53 (51)

Separation axioms and covering dimension of asymmetric normed spaces

open access: yesQuaestiones Mathematicae, 2020
It is well known that every asymmetric normed space is a T0 paratopological group. Since all Ti axioms (i = 0; 1; 2; 3) are pairwise non-equivalent in the class of paratopological groups, it is natural to ask if some of these axioms are equivalent in the
Natalia Jonard-Pérez
exaly   +1 more source

Maps generating the same primal space

open access: yesQuaestiones Mathematicae, 2017
Alexandroff topologies play an enigmatic role in topology. An important family of Alexandroff topologies are the functional Alexandroff spaces introduced by Shirazi and Golestani, and called primal topologies by O. Echi.
Sami Lazaar, Tom Richmond
exaly   +1 more source

Epi-quasi normality

open access: yesOpen Mathematics, 2021
This work studies a new version of normality called epi-quasi normality, which lies between epi-normality and epi-mild normality. In this paper, we investigate this property and present some examples that illustrate the relationships between epi-quasi ...
Thabit Sadeq Ali   +2 more
doaj   +1 more source

A novel class of bipolar soft separation axioms concerning crisp points

open access: yesDemonstratio Mathematica, 2023
The main objective of this study is to define a new class of bipolar soft (BS) separation axioms known as BS T˜˜i{\widetilde{\widetilde{T}}}_{i}-space (i=0,1,2,3,4)\left(i=0,1,2,3,4). This type is defined in terms of ordinary points.
Asaad Baravan A., Musa Sagvan Y.
doaj   +1 more source

Two new forms of ordered soft separation axioms

open access: yesDemonstratio Mathematica, 2020
The goal of this work is to introduce and study two new types of ordered soft separation axioms, namely soft Ti-ordered and strong soft Ti-ordered spaces (i = 0, 1, 2, 3, 4).
Al-shami Tareq M., El-Shafei Mohammed E.
doaj   +1 more source

New soft separation axioms and fixed soft points with respect to total belong and total non-belong relations

open access: yesDemonstratio Mathematica, 2021
In this article, we exploit the relations of total belong and total non-belong to introduce new soft separation axioms with respect to ordinary points, namely tttt-soft pre Ti(i=0,1,2,3,4){T}_{i}\hspace{0.33em}\left(i=0,1,2,3,4) and tttt-soft pre-regular
Al-shami Tareq M.   +2 more
doaj   +1 more source

On Weak Forms Of Β-Open And Β-Closed Functions In Smooth Fuzzy Topological Spaces

open access: yes, 2023
 In this paper, we introduce and study two new classes of fuzzy functions by using the notions of -fuzzy -open sets and -fuzzy -closure operator called weakly -fuzzy -open and weakly -fuzzy -closed functions.
Palanisamy
core   +1 more source

Web spaces and worldwide web spaces: topological aspects of domain theory [PDF]

open access: yesLogical Methods in Computer Science, 2019
Web spaces, wide web spaces and worldwide web spaces (alias C-spaces) provide useful generalizations of continuous domains. We present new characterizations of such spaces and their patch spaces, obtained by joining the original topology with a second ...
Marcel Erné
doaj   +1 more source

Almost Somewhat Near Continuity and Near Regularity

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
The notions of almost somewhat near continuity of functions and near regularity of spaces are introduced. Some properties of almost somewhat nearly continuous functions and their connections are studied.
Ameen Zanyar A.
doaj   +1 more source

Delta and Theta Generalized Closed Sets in Bitopological Spaces [PDF]

open access: yesAssiut 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.
doaj   +1 more source

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