[PDF] Top 20 Functions on α * g –Open Set in Topological Spaces

... X}, g  (X,τ) = {ϕ, {a}, {b}, {a ,b},X}, and  *g  (Y, σ) = { ϕ, {a ,b},Y}, g  (Y, σ) = { ϕ, {a},{b},{a ...is g  open map.Butf({a}) = {a} is not  * g–open in ... See full document

... continuous functions have been introduced over the ...continuous functions in topological ...continuous functions in topological ...studied α-continuous functions in ... See full document

... topological spaces. Levine [10] introduced the concept of continuous functions in topological ...continuous functions in topological ...continuous functions in ... See full document

... On the other hand, Abd El-Monsef et al. [1] introduced the notions of β-open sets and β-continuity in topological spaces early in 1983. Andrijevic [3] introduced the notion of semi-preopen sets which ... See full document

... of functions, namely, pre-α-continuous functions, contra pre-α- continuous functions, pre-α-irresolute functions and contra pre-α-irresolute functions in ... See full document

... in topological spaces. Mashhour [5] introduced pre open sets in topological ...*b-open set in topological ...somewhat open functions in topological ... See full document

... a topological space, the elements of X are called points of the space, the subsets of X belonging to are called open set in the space, and the complement of the subsets of X belonging to τ be called ... See full document

... ideal topological space which has its application in localization theory in set topology by Vaidyanathaswamy ...a set operator Ψ π in ideal topological spaces and study their ... See full document

... continuous functions in neutrosophic topological ...feebly open sets in Neutrosopic topological space and study their ...feebly open set namely neutrosophic feebly closed ... See full document

... somewhat open functions was introduced by Gentry and Hoyle ...topological spaces. He also established the weak forms of nano open sets namely nano α -open sets, nano semi ... See full document

... of α -sets for topological ...of α -sets one may refer to [1, 2, 4, 5, ...precontinuous functions in topological ...than open sets. Since then, δ -open sets have been ... See full document

... closed set in topological ...a topological space was introduced by Bourbaki ...continuous functions and investigated some of their ...continuous functions. The Authors [12] have already ... See full document

... where 0 , 1 are the constant functions with values 0 and 1, respectively. Chattopadhyay et al. [2] rediscovered the concept of fuzzy topology intro- duced by Šostak and called the function τ gradation of openness. ... See full document

... In topological spaces, it is well known that normality is preserved under closed continuous ...used g-closedness. In 1986, Greenwood and Reilly [8] used α-closedness due to Mashhour et ... See full document

... [3] J. Dontchev and M. Przemski, “ On the various decompositions of continuous and some weakly continuous functions”, Acta. Math.Hungar., 71(1-2)(1996), 109-120. [4] S.N. El-Deeb, I. A. Hasanein, A. S. Mashhour ... See full document

... and α*-sets respectively. t-sets and α*-sets are weak forms of open ...sc*g-closed,sc(s) g-closed Sets and study some of their ... See full document

... A subset N of a topological space (X,τ) is called a η-neighbourhood (briefly, η-nbd.) of a point p∈X if there exists an η-open set G such thatp∈G ⊆N. The class of all η-neighbourhood of ... See full document

... ψg-closed set [13] if ψcl(A) ⊆ U whenever A ⊆ U and U is open in (X, τ) (i) g * -closed set [16] if cl(A) ⊆ U whenever A ⊆ U and U is g-open in (X, τ) (j) g ˆ - closed ... See full document

... of topological transitive map called topological α - transitive [1] and investigated some of its topological dynamic ...of α- wandering points, and studied the notion of minimal ... See full document

... closed set to generalized closed set (g-closed set) in topology for the first ...sets, g*-closed sets, g*p-closed sets, Pre-semiclosed sets, rps-closed sets, gr- closed sets and ... See full document