[PDF] Top 20 Slightly β continuous functions

... and β-open sets play an im- portant role in the researches of generalizations of continuity in topological ...of slightly continuous ...defined slightly semi-continuous functions ... See full document

... Keywords: slightly continuous functions; slightly semi-continuous functions; slightly pre-continuous; slightly β-continuous functions; ... See full document

... introduced slightly semi-continuous ...studied slightly semi-continuous functions in ...about slightly β−continuous functions in ...introduced ... See full document

... Keywords: slightly continuous functions; slightly semi-continuous functions; slightly pre-continuous; slightly β-continuous functions; ... See full document

... Keywords: slightly continuous functions; slightly semi-continuous functions; slightly pre-continuous; slightly β -continuous functions; ... See full document

... sets, β-open sets, generalized semi open sets, generalized α-open sets and α- generalized open sets and weaker than open ...of functions, namely, pre-α-continuous functions, contra pre-α- ... See full document

... strong continuous functions called strongly θ − δ − β-continuous functions and give several characterizations and fundamental properties concerning strongly θ ... See full document

... j)-β-I-i-almost continuous at x ∈ X , then there exists an ij-regular open set V containing f (x) such that for every (i, j)-β-I-i-open set U of X containing x, f (U) ∩ (Y \ V ) ̸ = ... See full document

... In [1] C. Berge introduced the theory of multifunctions. A multifunction is a set-valued function. The concept of multifunctions has applications in functional analysis and fixed point theory. The notion of ideal in ... See full document

... Y, slightly continuous 7 if fU ⊂ fU whenever U is open in X, semi-continuous 1 if the inverse image of each open set is semi-open, β-continuous 6 if the inverse image of each open set ... See full document

... is continuous, there exists open sets W in (Z , ρ) with f (x ) ∈ W and g(W ) ⊆ V ...− continuous there exists ωβO(X , τ) say U containing x such that f (U) ⊆ W ...− continuous or β − ... See full document

... and upper Minkowski dimension, respectively. The upper bound on V (α) is a consequence of the following theorem. Let {B(t) : t ∈ [0, 1]} be a fractional Brownian motion of Hurst index α. Then, almost surely, there exists ... See full document

... c},Y}. β* C (X,τ)={ϕ, {a} , {b} , {c} , {d},{a, b}, {a, c} ,{a, d}, {b, c} , {b, d},{c, d}, {a, b, d},{a, c, d} , {b, c, d} , X} g *C (X, τ) = {ϕ , {d} ,{a, d}, {b, d},{c, d},{a, b, c},{ {a, b, d} ,{a, c, d} , {b, ... See full document

... introduced slightly semi-continuous ...studied slightly semi-continuous functions in ...about slightly −continuous functions in ...introduced slightly ... See full document

... Proof: Assume that A and B are preopen or semiopen subsets in X. Let U be an open subset of Y with compact complement. Then, we have f -1 (U) = ( f|A) -1 (U)  (f|B) -1 (U), each of which is α-open by Lemma-3.5 & ... See full document

... all functions of type S N → N are ...of functions as programs: a terminating program computes its result in a finite number of steps; during the computation it can only read a finite number of entries from ... See full document

... T he properties of new class of functions, namely Nano semi totally continuous functions and Nano totally semi continuous functions in Nano topological space are analyzed in this paper.[r] ... See full document

... The first characterization of rc-continuous functions is obtained through in- troducing a new topology on the codomain. For a space (X,T ) , we introduce the regular closed subsets generated topology, ... See full document

... - continuous but not g # ψ - totally continuous, since for the g # ψ - open set {a} in (Y,σ), f -1 ({a }) ={c} is g # ψ - closed but not clopen in ...- continuous function is independent from g # ψ - ... See full document

... somewhat continuous functions in the year ...v- continuous functions in the year 2006 and 2010 ...b-continuous functions in the year ...rg- continuous functions, ... See full document