Results 51 to 60 of about 94 (92)
A note on some applications of semi‐open sets
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 205-207, 1998., 1996 The object of the present paper is to study the well known notions of semi‐closure, semiinterior, semi‐frontier and semi‐exterior of a set using the concept of semi‐open sets. A semi‐isolated point of a set is also defined and studied.
T. M. Nour
wiley +1 more source
Quasiorders, principal topologies, and partially ordered partitions
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 221-234, 1998., 1997 The quasiorders on a set X are equivalent to the topologies on X which are closed under arbitrary intersections. We consider the quaisorders on X to be partial orders on the blocks of a partition of X and use this approach to survey some fundamental results on the lattice of quasiorders on X.
Thomas A. Richmond
wiley +1 more source
Local compactness in approach spaces I
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 3, Page 429-438, 1998., 1998 This paper introduces some definitions of a concept of local compactness in approach spaces. The basic relationships between these concepts is studied, and measures of local compactness are defined.
R. Lowen, C. Verbeeck
wiley +1 more source
Continuous functions on bigeneralized topological spaces, Int [PDF]
, 2020 The purpose of this paper is to introduce the notions of (µ, µ ) (m,n) -continuous, almost (µ, µ ) (m,n) -continuous and weakly (µ, µ ) (m,n) -continuous functions on bigeneralized topological spaces. Basic properties, characterizations and relationships
Chokchai Viriyapong +2 more
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Generalized totally disconnectedness
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 3, Page 485-488, 1995., 1994 In this paper totally disconnectedness is generalized to maximal disconnectedness, which is investigated, and additional properties of totally disconnectedncss and 0‐dimensional are given.
Charles Dorsett
wiley +1 more source
On Pre Generalızed Pre Regular Weakly Closed Sets in Topologıcal Spaces [PDF]
, 2020 In this paper a new class of sets called pre generalized pre regular weakly closed (briefly pgprw-closed) sets in topological spaces is introduced and studied. A subset A of a topological space (X, τሻ is called pgprw-closed if U contains pre closure of A
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Cech Closure Space in Structural Configuration of Proteins
, 2009 The generalised structural arrangements of various bimolecule such as carbohydrates, proteins etc are based on the rules ofČech closure operator. In this paper we discuss the relationship betweenČech closure space and structural configuration of proteins.
K Chandrasekhara Rao +3 more
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On Closure Operators, the Reals, and choice
, 2004 Dedicated to our friend Guillaume Brümmer on the occasion of his 70th birthday.Abstract unavailable at this time...Mathematics Subject Classification (2000): 03E25, 54A05, 54D50, 54D55.Key words: Axiom of countable choice, closure operator, sequential ...
Giuli, Eraldo, Herrlich, Horst
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Separation Axioms via α^m-Kernel Set associated with α^m-Closed Set
, 2015 In this paper, we introduce a new class of sets called -kernel set and study their basic properties in topological spaces.
Imran, Qays Hatem
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© Hindawi Publishing Corp. QUANTIFICATION OF TOPOLOGICAL CONCEPTS USING IDEALS
, 2000 . 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 ...
Robert Lowen, Bart Windels
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