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Subsets of ideal topological spaces
Acta Mathematica Hungarica, 2007An 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, 2023Among 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, 2008Given 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
2012Summary: 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, 2020In 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, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Decomposition theorem in ideal topological spaces
AIP Conference Proceedings, 2014We 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
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On hesitant fuzzy ideal topological space
AIP Conference Proceedings, 2023Ramla Mahdi Thgeel +2 more
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
exaly
Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
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