Results 21 to 30 of about 140 (131)

[Retracted] New Soft Structure: Infra Soft Topological Spaces

open access: yesMathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
It is always convenient to find the weakest conditions that preserve some topologically inspired properties. To this end, we introduce the concept of an infra soft topology which is a collection of subsets that extend the concept of soft topology by dispensing with the postulate that the collection is closed under arbitrary unions.
Tareq M. Al-shami, Naeem Jan
wiley   +1 more source

Infra Soft Compact Spaces and Application to Fixed Point Theorem

open access: yesJournal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
Infra soft topology is one of the recent generalizations of soft topology which is closed under finite intersection. Herein, we contribute to this structure by presenting two kinds of soft covering properties, namely, infra soft compact and infra soft Lindelöf spaces.
Tareq M. Al-shami, Huseyin Isik
wiley   +1 more source

An Absolutely New Attempt to Vague Soft Bitopological Spaces Basis at Newly Defined Operations regarding Vague Soft Points

open access: yesMathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
In this study, new operations of union, intersection, and complement are defined with the help of vague soft sets in a new way that is in both true and false statements, union is defined with maximum, and intersection is defined with minimum. On the basis of these operations, vague soft topology is defined.
Arif Mehmood   +5 more
wiley   +1 more source

More on Selective Covering Properties in Bitopological Spaces

open access: yesJournal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this study, we continue our investigation of selective covering properties in bitopological spaces. We discuss their behaviour under certain kinds of mappings. We also introduce selective versions of the ccc property and the star‐ccc property in bitopological spaces and give few of their relations with other selective properties.
Ljubiša D. R. Kočinac   +2 more
wiley   +1 more source

A New Closed Set in Topological Spaces

open access: yesMathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021
Our purpose of this work is to implement a class of sg∧‐closed sets, which is property placed among the classes of semiclosed sets and gs‐closed sets. The relations with other concepts directly or indirectly joined with generalized closed sets are inspected.
A. A. Azzam, Francisco Rossomando
wiley   +1 more source

Study of -open function and Inductively -open function in bitopological spaces [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2012
: A new definition of bitopological space is introduce in this paper with its -open set -open function , and inductively -open function and on some theorems for its .Key words: -open function , Inductively , bitopological ...
Nadia Ali Nadhim
doaj   +1 more source

Compactness on Soft Topological Ordered Spaces and Its Application on the Information System

open access: yesJournal of Mathematics, Volume 2021, Issue 1, 2021., 2021
It is well known every soft topological space induced from soft information system is soft compact. In this study, we integrate between soft compactness and partially ordered set to introduce new types of soft compactness on the finite spaces and investigate their application on the information system. First, we initiate a notion of monotonic soft sets
T. M. Al-shami, Ching-Feng Wen
wiley   +1 more source

Characterization of Soft S-Open Sets in Bi-Soft Topological Structure Concerning Crisp Points

open access: yesMathematics, 2020
In this article, a soft s-open set in soft bitopological structures is introduced. With the help of this newly defined soft s-open set, soft separation axioms are regenerated in soft bitopological structures with respect to crisp points.
Arif Mehmood   +3 more
doaj   +1 more source

Pairwise Semiregular Properties on Generalized Pairwise Lindelöf Spaces

open access: yesInternational Journal of Analysis and Applications, 2023
Let (X, τ1, τ2) be a bitopological space and (X, τs(1,2), τs(2,1)) its pairwise semiregularization. Then a bitopological property P is called pairwise semiregular provided that (X, τ1, τ2) has the property P if and only if (X, τs(1,2), τs(2,1)) has the ...
Zabidin Salleh
doaj   +1 more source

On c-Compactness in Topological and Bitopological Spaces

open access: yesMathematics, 2023
The primary goal of this research is to initiate the pairwise c-compact concept in topological and bitopological spaces. This would make us to define the concept of c-compact space with some of its generalization, and present some necessary notions such ...
Rehab Alharbi   +3 more
doaj   +1 more source

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