Results 21 to 30 of about 2,036,091 (286)
An almost continuous function [PDF]
In this note, a function is constructed which is of the Cesàro type and is almost continuous in the sense of Stallings and in the sense of Husain.
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Weak continuity and almost continuity
Two relationships considered by Weston [1] for a pair of topologies on a set X are translated to a function setting. An attempt to characterize the two resulting types of functions leads to new characterizations of weak continuity and almost continuity ...
D. A. Rose
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On some variations of multifunction continuity
This paper considers six classes of multifunctions between topological spaces, namely almost ℓ−continuous multifunctions, K-almost c−continuous multifunctions, nearly continuous multifunctions, almost nearly continuous multifunctions, super continuous ...
A. Kanibir, Ivan L. Reilly
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On Co-F-Closed and Almost Co-F-Closed Topologies [PDF]
We study the so-called Co-F-Closed and Almost Co-F-Closed Topologies of a given topological space. Several results which have appeared in [4] are expanded and improved.
Arafa A. NASEF
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A NOTE ON ALMOST UNIFORM CONTINUITY OF BOREL FUNCTIONS ON POLISH METRIC SPACES
With a simple short proof, this article improves a classical approximation result of Lusin’s type; specifically, it is shown that, on any given finite Borel measure space with the ambient space being a Polish metric space, every Borel real-valued ...
Y.-L. Chou
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Georg Cantor (1845-1919), with his seminal work on sets and number, brought forth a new field of inquiry, set theory, and ushered in a way of proceeding in mathematics, one at base infinitary, topological, and combinatorial. While this was the thrust,
Kanamori, Akihiro, Akihiro Kanamori
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SOME CHARACTERIZATIONS OF P-CONTINUITY AND NEW DECOMPOSITIONS [PDF]
The aim of this paper is to present the notion of relatively almost p-continuity and p*-continuity and we obtain some decomposition theorems of p-continuity by proving that, A function ƒ: X→Y is p-continuous if and only if it is almost p-continuous ...
Arafa A. Nasef
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A Note on Measurability and Almost Continuity [PDF]
We prove that it is consistent with ZFC that there exist a measurable function f : [
Burke, Maxim R., Fremlin, David H.
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Almost continuity vs closure continuity [PDF]
summary:We provide an answer to a question: under what conditions almost continuity in the sense of Husain implies closure ...
Saleemi, B. A. +2 more
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A characterization of almost continuity and weak continuity [PDF]
summary:It is well known that a function $f$ from a space $X$ into a space $Y$ is continuous if and only if, for every set $K$ in $X$ the image of the closure of $K$ under $f$ is a subset of the closure of the image of it.
Petalas, Chrisostomos +1 more
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