Results 31 to 40 of about 94 (92)
A note on some applications of α‐open sets
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 125-130, 2003., 2003 The object of this note is to introduce and study topological properties of α‐derived, α‐border, α‐frontier, and α‐exterior of a set using the concept of α‐open sets. Moreover, we study some further properties of the well‐known notions of α‐closure and α‐interior. We also obtain a new decomposition of α‐continuous functions.
Miguel Caldas
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rc‐continuous functions and functions with rc‐strongly closed graph
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 72, Page 4547-4555, 2003., 2003 The family of regular closed subsets of a topological space is used to introduce two concepts concerning a function f from a space X to a space Y. The first of them is the notion of f being rc‐continuous. One of the established results states that a space Y is extremally disconnected if and only if each continuous function from a space X to Y is rc ...
Bassam Al-Nashef
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The points and diameters of quantales
Open Mathematics, 2018 In this paper, we investigate some properties of points on quantales. It is proved that the two sided prime elements are in one to one correspondence with points.
Liang Shaohui
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Demonstratio Mathematica, 2021 In this article, we exploit the relations of total belong and total non-belong to introduce new soft separation axioms with respect to ordinary points, namely tttt-soft pre Ti(i=0,1,2,3,4){T}_{i}\hspace{0.33em}\left(i=0,1,2,3,4) and tttt-soft pre-regular
Al-shami Tareq M. +2 more
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Some properties of maximal open sets
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 21, Page 1331-1340, 2003., 2003 Some fundamental properties of maximal open sets are obtained, such as decomposition theorem for a maximal open set. Basic properties of intersections of maximal open sets are established, such as the law of radical closure.
Fumie Nakaoka, Nobuyuki Oda
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More on μ-semi-Lindelöf sets in μ-spaces
Demonstratio Mathematica, 2021 Sarsak [On μ\mu -compact sets in μ\mu -spaces, Questions Answers Gen. Topology 31 (2013), no. 1, 49–57] introduced and studied the class of μ\mu -Lindelöf sets in μ\mu -spaces. Mustafa [μ\mu -semi compactness and
Sarsak Mohammad S.
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Semi‐precontinuous functions and properties of generalized semi‐preclosed sets in topological spaces
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 2, Page 85-98, 2002., 2002 Andrijević (1986) introduced the class of semi‐preopen sets in topological spaces. Since then many authors including Andrijević have studied this class of sets by defining their neighborhoods, separation axioms and functions. The purpose of this paper is to provide the new characterizations of semi‐preopen and semi‐preclosed sets by defining the ...
G. B. Navalagi
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A study on attribute reduction by bayesian decision theoretic rough set models [PDF]
, 2020 . Bayesian Decision theoretic rough set AMS Classification: 54A05, 54H99 Keywords: Bayesian decision theoretic rough set model, Decision theoretic rough set, Bayesian rough set, Bayesian rough set based on ...
Kalyani Debnath +1 more
core
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 7, Page 387-399, 2002., 2002 Neighborhood spaces, pretopological spaces, and closure spaces are topological space generalizations which can be characterized by means of their associated interior (or closure) operators. The category NBD of neighborhood spaces and continuous maps contains PRTOP as a bicoreflective subcategory and CLS as a bireflective subcategory, whereas TOP is ...
D. C. Kent, Won Keun Min
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Quantification of topological concepts using ideals
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 9, Page 561-579, 2001., 2001 We introduce certain ideals of real‐valued functions as a natural generalization of filters. We show that these ideals establish a canonical framework for the quantification of topological concepts, such as closedness, adherence, and compactness, in the setting of approach spaces.
Robert Lowen, Bart Windels
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