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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Volume: 49 Issue: 6

On abstract generalized topological spaces generated by the density type operators

Jacek Hejduk(Łódź University)0000-0001-8222-0469
Anna Loranty(Łódź University)0000-0002-5345-9291
Pages
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Publication Date
2020-12-08
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Moreover, the properties of nowhere dense sets, meager sets and compact sets in this generalized topological space are studied.

📌 3 Key Takeaways

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Objective & Hypothesis:In the paper we concentrate on a generalized topological space generated by a density type operator on a measurable space.
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Key Findings & Data:The properties of such generalized topological space are investigated.
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Conclusion & Impact:Moreover, the properties of nowhere dense sets, meager sets and compact sets in this generalized topological space are studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:a generalized topological space · separation axioms · a nowhere dense set

Abstract

In the paper we concentrate on a generalized topological space generated by a density type operator on a measurable space. The properties of such generalized topological space are investigated. Moreover, the properties of nowhere dense sets, meager sets and compact sets in this generalized topological space are studied.

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Cite This Article

Hejduk, J., Loranty, A. (2020). On abstract generalized topological spaces generated by the density type operators. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 6. https://doi.org/10.15672/hujms.580157

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