Results 11 to 20 of about 9,051,507 (186)
Almost continuous real functions [PDF]
Proceedings of the American Mathematical Society, 1972 A blocking set of a function f is a closed set which does not intersect f but which intersects each continuous function with domain the same as f . It is shown that for each function which is not almost continuous,
Kellum, K. R., Garrett, B. D.
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A Counterexample Concerning Almost Continuous Functions [PDF]
Proceedings of the American Mathematical Society, 1974 An example is constructed of a function which is almost continuous in the sense of Singal and Singal but not in the sense of Stallings.
Herrington, Larry L. +3 more
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Comparing almost continuous functions [PDF]
Proceedings of the American Mathematical Society, 1973 Three definitions as to when a function from one topological space to another is called almost continuous are cited from the literature. Similarities and dissimilarities of two of these definitions are discussed.
Long, Paul E., Carnahan, Donald A.
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An almost continuous function [PDF]
Proceedings of the American Mathematical Society, 1974 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.
Richard J. Fleissner
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Almost-continuous path connected spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1981 M. K. Singal and Asha Rani Singal have defined an almost-continuous function f:X→Y to be one in which for each x∈X and each regular-open set V containing f(x), there exists an open U containing x such that f(U)⊂V.
Larry L. Herrington, Paul E. Long
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Almost automorphic derivative of an almost automorphic function. [PDF]
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2017 In this article are obtained conditions when the derivative of a continuous almost automorphic (an asymptotically almost automorphic, an almost periodic, an asymptotically almost periodic) function remains a continuous almost automorphic (an ...
Svetlana D. Dimitrova-Burlayenko
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Almost e∗ -continuous functions and their characterizations
Journal of Nonlinear Sciences and Applications, 2016 WOS ...
Ayhan, B.S., Özkoç, M.
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EVERY ALMOST CONTINUOUS FUNCTION IS POLYGONALLY ALMOST CONTINUOUS
Real Analysis Exchange, 1999 A function \(f: \mathbb{I} \rightarrow \mathbb{R}\) is almost continuous (AC) if whenever \(U\subset \mathbb{I} \times \mathbb{R}\) is an open set containing the graph of \(f\), then \(U\) contains the graph of a continuous function. A function \(f: \mathbb{I} \rightarrow \mathbb{R}\) is polygonally almost continuous (PAC) if whenever \(U\subset ...
Piotr Szuca
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Measurable functions and almost continuous functions
Manuscripta Mathematica, 1981 I show that if (X, μ) is a Radon measure space and Y is a metric space, then a function from X to Y is μ-measurable iff it is almost continuous (=Lusin measurable). I discuss other cases in which measurable functions are almost continuous.
D H Fremlin
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CONTINUOUS MAPPINGS OF ALMOST AUTOMORPHIC AND ALMOST PERIODIC FUNCTIONS [PDF]
Proceedings of the National Academy of Sciences, 1964 S Bochner
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