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Subsets of ideal topological spaces

Acta Mathematica Hungarica, 2007
An ideal topological space is a topological space \((X,\tau)\) with an ideal \(\mathcal I\) on \(X\). The ideal generates a new closure operator \(cl^*\) on \(X\). Using the operator \(cl^*\) several classes of sets in ideal spaces are defined and studied. These sets are generalizations of known generalized open and closed sets in topological spaces.
Jeyanthi, V.   +2 more
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Regularity in ideal grill topological space

Journal of Interdisciplinary Mathematics, 2023
Among the basic concepts that have a vital role in producing comprehensive topologies is a regular space. In this respect, a new definition is introduced in the current study of separation properties. The term JG-regular is given to it. Then its important properties and connection with regular, JG-compact and H-closed are presented.
Alyaa Yousef Khudayer Mutawek   +1 more
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g-closed sets in ideal topological spaces

Acta Mathematica Hungarica, 2008
Given a topological space \((X,\tau)\), an ideal \(\mathcal I\) in the powerset \(\mathcal P(X)\), and a subset \(A\subseteq X\), let \(A^*=\{x\in X:U\cap A\notin \mathcal I\;\text{for each open neighborhood }U ...
Navaneethakrishnan, M.   +1 more
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\(\star\)-hyperconnected ideal topological spaces

2012
Summary: The aim of this paper is to introduce and study \(\star\)-hyperconnected ideal topological spaces. Characterizations and properties of \(\star\)-hyperconnected ideal topological spaces are investigated.
EKİCİ, ERDAL, Noiri, Takashi
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Covering dimension and ideal topological spaces

Quaestiones Mathematicae, 2020
In this paper we study dimensions of the type dim for the class of ideal topological spaces. We shall start from the classical definition of the dimension functions dim and dim* , continue with the dimension I-dim and finnally, give two different kinds of functions of covering dimensional type.
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On Continuous Multifunctions in Ideal Topological Spaces

Lobachevskii Journal of Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Decomposition theorem in ideal topological spaces

AIP Conference Proceedings, 2014
We introduce new classes of sets called a* -I -open,A-β-I-open sets, A-pre* -I-open sets, strongly T-I -sets, A-β-T-I-sets, strongly BA -I -sets, BA -I -sets, and δβA -I -open sets in ideal topological spaces. Using these sets, to obtain decompositions of continuity in an ideal topological space.
W. AL-omeri   +2 more
openaire   +1 more source

On hesitant fuzzy ideal topological space

AIP Conference Proceedings, 2023
Ramla Mahdi Thgeel   +2 more
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The biofilm matrix: multitasking in a shared space

Nature Reviews Microbiology, 2022
Hans-Curt Flemming   +2 more
exaly  

Cosmology with the Laser Interferometer Space Antenna

Living Reviews in Relativity, 2023
Germano Nardini
exaly  

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