Results 21 to 30 of about 150,546 (155)
A note on semi-open sets in triclosure spaces
Journal of Mathematical and Computational Science, 2021 In this paper, we used the notion of triclosure spaces to introduce and study the concept of semi-open set in triclosure spaces. Besides, we show some of their properties. Moreover, the notions of semi-continuous and semi-irresolute functions in a triclosure spaces are studied. Furthermore, we prove some of their properties.
openaire +2 more sources
More properties of generalized open sets in generalized topological spaces
Demonstratio Mathematica, 2022 Sarsak [M. S. Sarsak, On some properties of generalized open sets in generalized topological spaces, Demonstr. Math. 46 (2013), no. 2, 415–427] studied some properties of generalized open sets in generalized topological spaces (GTSs); the primary purpose
Sarsak Mohammad S.
doaj +1 more source
A note on some applications of semi‐open sets [PDF]
International Journal of Mathematics and Mathematical Sciences, 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.
openaire +3 more sources
SOME CLASSES IN IDEAL TOPOLOGICAL SPACES [PDF]
مجلة التربية والعلم, 2023 This study presents new classes of open sets defined in ideal topological space. These classes, namely: i - I -open, weakly i- I-open, ii - I -open, and weakly ii -I -open.
Mohammed Jadoo, Amir A .Mohammed Alsaraj
doaj +1 more source
Nano SC-Open Sets in Nano Topological Spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 The objective of this paper is to define and introduce a new type of nano semi-open set which called nano -open set as a strong form of nano semi-open set which is related to nano closed sets in nano topological spaces.
Osama Pirbal, Nehmat K. Ahmed
doaj +1 more source
Semi-open sets in biclosure spaces
Discussiones Mathematicae - General Algebra and Applications, 2009 The aim of this paper is to introduce and study semi-open sets in biclosure spaces. We define semi-continuous maps and semi-irresolute maps and investigate their behavior. Moreover, we introduce pre-semiopen maps in biclosure spaces and study some of their properties.
Chawalit Boonpok, Jeeranunt Khampakdee
openaire +1 more source
Semi Generalized Open Sets and Generalized Semi Closed Sets in Topological Spaces
International Journal of Analysis and Applications, 2020 In this paper we introduce a new class of semi generalized open sets, generalized semi closed sets in topological spaces, and studied some of its basic properties.
Abdelgabar Adam Hassan
doaj
$r$-fuzzy regular semi open sets in smooth topological spaces [PDF]
Sahand Communications in Mathematical Analysis, 2017 In this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. By using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior
Appachi Vadivel, Elangovan Elavarasan
doaj
مجلة بغداد للعلوم, 2007 A new class of generalized open sets in a topological space, called G-open sets, is introduced and studied. This class contains all semi-open, preopen, b-open and semi-preopen sets.
Baghdad Science Journal
doaj +1 more source
Theory of Generalized Sets in Generalized Topological Spaces
Journal of New Theory, 2021 Several specific types of generalized sets (briefly, g-T_g-sets in generalized topological spaces (briefly, T_g-spaces have been defined and investigated for various purposes from time to time in the literature of T_g-spaces.
Noor-ul-hacq Sookıa +1 more
doaj +1 more source