Results 11 to 20 of about 192 (173)
In this paper, we introduce fuzzy nano (resp. δ, δS, P and Z) locally closed set and fuzzy nano (resp. δ, δS, P and Z) extremally disconnected spaces in fuzzy nano topological spaces. Also, we introduce some new spaces called fuzzy nano (resp.
R. Thangammal +6 more
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A Note On Neutrosophic Chaotic Continuous Functions [PDF]
Many real time problems are based on uncertainity and chaotic environment. To demonstrate this ambiguous suituation more precisely we intend to amalgamate the ideas of chaos theory and neutrosophy.
T. Madhumathi +2 more
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A Note on Extremally Disconnected Spaces [PDF]
A topological space X is said to be locally S -closed if each point of X has an open neighborhood which is an S -closed subspace of X
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ON /-EXTREMALLY DISCONNECTED SPACES
Abstract. We have introduced and investigated the notion of I-extremal disconnectedness on ideal topological spaces. First, we found that the notions of extremal disconnectedness and I-extremal disconnectedness are independent of each other. About the letter one, we observed that every open subset of an I-extremally disconnected space is also an I ...
KESKİN, Aynur +2 more
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-Fuzzy Extremally Disconnected Ideal Topological Spaces [PDF]
The notion of ★-Externally disconnected fuzzy ideal topological spaces is introduced and studied. Many characterizations of the space are obtained.
S. Ahmed Abd El-Baki, Yaser M. Saber
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Measure-theoretic characterizations of hereditarily-normal spaces
In this paper we characterize hereditarily-normal spaces in terms of the measure-theoretic properties of the lattice of closed sets. We then generalize from that lattice to other lattices. We apply the results to extremally-disconnected spaces.
Joseph Hertzlinger
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Continuous functions on extremally disconnected spaces [PDF]
Using results and techniques due to Abramovich, Arenson and Kitover it is shown that each fixed-point set of a selfmap of a compact extremally disconnected space is a retract of that space, and that the retraction can be constructed from the particular selfmap itself.
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On Semicompact Sets and Associated Properties
We continue the study of semicompact sets in a topological space. Several properties, mapping properties of semicompact sets are studied. A special interest to 𝑆𝐶𝑆 spaces is given, where a space 𝑋 is 𝑆𝐶𝑆 if every subset of 𝑋 which is semicompact in 𝑋 is
Mohammad S. Sarsak
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On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces
In this paper, the concept of generalized neutrosophic pre-closed sets and generalized neutrosophic pre-open sets are introduced. We also study relations and various properties between the other existing neutrosophic open and closed sets. In addition, we
Wadei Al-Omeri, Saeid Jafari
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On rings of real valued clopen continuous functions
Among variant kinds of strong continuity in the literature, the clopen continuity or cl-supercontinuity (i.e., inverse image of every open set is a union of clopen sets) is considered in this paper.
Susan Afrooz +2 more
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