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zbMATH Open
Article . 2019
Data sources: zbMATH Open
Hacettepe Journal of Mathematics and Statistics
Article . 2018 . Peer-reviewed
Data sources: Crossref
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Soft Topology in Ideal Topological Spaces

Soft topology in ideal topological spaces
Authors: AL-OMARİ, Ahmad;

Soft Topology in Ideal Topological Spaces

Abstract

Summary: In this paper, \((X,\tau,E)\) denotes a soft topological space and \(\overline{\mathcal{I}}\) a soft ideal over \(X\) with the same set of parameters \(E\). We define an operator \((F,E)^\theta(\overline{\mathcal{I}},\tau)\) called the \(\theta\)-local function of \((F,E)\) with respect to \(\overline{\mathcal{I}}\) and \(\tau\). Also, we investigate some properties of this operator. Moreover, by using the operator \((F,E)^\theta(\overline{\mathcal{I}},\tau)\), we introduce another soft operator to obtain soft topology and show that \(\tau_\theta \subseteq \sigma \subseteq \sigma_0\).

Keywords

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies), Matematik, soft topological;ideal;$\theta$-local function;$\theta$-compatibility, Special maps on topological spaces (open, closed, perfect, etc.), Topological spaces and generalizations (closure spaces, etc.), soft topological, ideal, \(\theta\)-local function, \(\theta\)-compatibility, Mathematical Sciences

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
bronze