On nano Penta topological spaces

On nano Penta topological spaces

The main purpose of this paper was to tender a new type of topology which named Nano Penta Topology (briefly NP-topology), by studying three cases independent from each other, depending on the number of equivalence relations of universe set and its subsets , supporting the study by examples and case...

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Hauptverfasser: Yaseen, Rana B., Shihab, Ali A., Alobaidi, Mizal H.
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Equivalence
Topology
Universe
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Shihab, Ali A.
Alobaidi, Mizal H.
description The main purpose of this paper was to tender a new type of topology which named Nano Penta Topology (briefly NP-topology), by studying three cases independent from each other, depending on the number of equivalence relations of universe set and its subsets , supporting the study by examples and cases with some properties related to these concepts. We also set a situation on the lower and upper approximations for the third case (using five equivalence relations defined on the universe set and its subsets) , that is generalize a topological space which called Penta Multi-Granular Nano Topological Space, briefly (M_GNPT). Basic properties of such topologies were discussed with suitable examples. So be Nano Penta (Penta Multi- Granular Nano) extremally disconnected with some properties were studied.
doi_str_mv 10.1063/5.0115365
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subjects Equivalence
Topology
Universe
title On nano Penta topological spaces
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