Results 11 to 20 of about 192 (173)

Fuzzy Nano z-locally Closed Sets, Extremally Disconnected Spaces, Normal Spaces, and Their Application

open access: yesAdvances in Fuzzy Systems, 2022
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
doaj   +1 more source

A Note On Neutrosophic Chaotic Continuous Functions [PDF]

open access: yesNeutrosophic Sets and Systems, 2019
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
doaj   +1 more source

A Note on Extremally Disconnected Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1980
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
openaire   +1 more source

ON /-EXTREMALLY DISCONNECTED SPACES

open access: yesCommunications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1999
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
openaire   +3 more sources

-Fuzzy Extremally Disconnected Ideal Topological Spaces [PDF]

open access: yesInternational Journal of Fuzzy Logic and Intelligent Systems, 2010
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
openaire   +1 more source

Measure-theoretic characterizations of hereditarily-normal spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
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
doaj   +1 more source

Continuous functions on extremally disconnected spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 1995
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.
openaire   +2 more sources

On Semicompact Sets and Associated Properties

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
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
doaj   +1 more source

On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces

open access: yesMathematics, 2018
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
doaj   +1 more source

On rings of real valued clopen continuous functions

open access: yesApplied General Topology, 2018
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
doaj   +1 more source

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