Results 11 to 20 of about 2,036,091 (286)
Types of Almost Continuity [PDF]
Proceedings of the American Mathematical Society, 1983 The differences for properties of the range space f ( X ) f(X)
Garrett, B. D., Kellum, K. R.
openaire +2 more sources
Acta Mathematica Hungarica, 2010 The authors study generalized forms of continuity and characterize these as continuity with respect to weaker topologies on domain and range. For example, almost clopen continuity is seen to be continuity if on the domain one takes the quasi-topology (generated by the clopen sets) and on the range the semiregularization.
Kanibir, A., Reilly, I. L.
openaire +5 more sources
Soft Complete Continuity and Soft Strong Continuity in Soft Topological Spaces
Axioms, 2023 In this paper, we introduce soft complete continuity as a strong form of soft continuity and we introduce soft strong continuity as a strong form of soft complete continuity. Several characterizations, compositions, and restriction theorems are obtained.
Samer Al Ghour
doaj +2 more sources
On the Almost Everywhere Continuity
, 2014 The aim of this paper is to provide characterizations of the Lebesgue-almost everywhere continuity of a function f : [a, b] $\rightarrow$ R. These characterizations permit to obtain necessary and sufficient conditions for the Riemann integrability of f .
Blot, Joël
core +5 more sources
Weak openness and almost openness [PDF]
International Journal of Mathematics and Mathematical Sciences, 1984 Weak openness and almost openness for arbitrary functions between topological spaces are defined as duals to the weak continuity of Levine and the almost continuity of Husain respectively.
David A. Rose
doaj +2 more sources
Almost γ-continuous functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper, a new class of functions called almost γ-continuous is introduced and their several properties are investigated. This new class is also utilized to improve some published results concerning weak continuity [6] and γ-continuity [2].
F. Cammaroto, T. Noiri
doaj +2 more sources
Almost Somewhat Near Continuity and Near Regularity
Moroccan Journal of Pure and Applied Analysis, 2021 The notions of almost somewhat near continuity of functions and near regularity of spaces are introduced. Some properties of almost somewhat nearly continuous functions and their connections are studied.
Ameen Zanyar A.
doaj +1 more source
On ∞-entropy points in real analysis [PDF]
Opuscula Mathematica, 2014 We will consider \(\infty\)-entropy points in the context of the possibilities of approximation mappings by the functions having \(\infty\)-entropy points and belonging to essential (from the point of view of real analysis theory) classes of functions ...
Ewa Korczak-Kubiak +2 more
doaj +1 more source
(τ1,τ2)δ-semicontinuous multifunctions
Heliyon, 2020 The purpose of the present article is to introduce the concepts of upper and lower (τ1,τ2)δ-semicontinuous multifunctions. Some characterizations of upper and lower (τ1,τ2)δ-semicontinuous multifunctions are investigated.
Chawalit Boonpok
doaj +1 more source
On almost cl-supercontinuous functions
Applied General Topology, 2010 Recently the class of almost cl-supercontinuous functions between topological spaces has been studied in some detail. We conside rthis class of functions from the point of view of change(s) of topology.
A. Kanibir, Ivan L. Reilly
doaj +1 more source