منابع مشابه
Some Applications of Minimal Open Sets
We characterize minimal open sets in topological spaces. We show that any nonempty subset of a minimal open set is pre-open. As an application of a theory of minimal open sets, we obtain a sufficient condition for a locally finite space to be a preHausdorff space. 2000 Mathematics Subject Classification. 54A05, 54D99.
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The aim of this paper is to introduce and study the notions of fuzzy upper $e$-limit set, fuzzy lower $e$-limit set and fuzzy $e$-continuously convergent functions. Properties and basic relationships among fuzzy upper $e$-limit set, fuzzy lower $e$- limit set and fuzzy $e$-continuity are investigated via fuzzy $e$-open sets.
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Two new minimality concepts are defined and investigated in fuzzy spaces. Relationships between them and the known one are obtained. Several results concerning them are obtained. The results especially deal with products, separation axioms, maps, and fuzzy topologically generated topologies.
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In this paper, the notion of maximal m-open set is introduced and itsproperties are investigated. Some results about existence of maximal m-open setsare given. Moreover, the relations between maximal m-open sets in an m-spaceand maximal open sets in the corresponding generated topology are considered.Our results are supported by examples and counterexamples.
متن کاملSabir Hussain APPLICATIONS OF MINIMAL γ - SEMI - OPEN SETS
In this paper, minimal γ-semi-open sets in topological spaces introduce and discuss. Also some properties of pre γ-semi-open sets using properties of minimal γ-semi-open sets obtain. As an application of a theory of minimal γ-semi-open sets, I obtain a sufficient condition for a γ-semi-locally finite space to be a pre γ-semi-T2 space.
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ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2014
ISSN: 2391-4661,0420-1213
DOI: 10.2478/dema-2014-0033