0-regularity varying function.
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S. Aljancic, D. Arandjelovic (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
Börger, Reinhard (2010)
Theory and Applications of Categories [electronic only]
Erich Peter Klement, Mirko Navara (1997)
Czechoslovak Mathematical Journal
We give a complete characterization of tribes with respect to the Łukasiewicz -norm, i. e., of systems of fuzzy sets which are closed with respect to the complement of fuzzy sets and with respect to countably many applications of the Łukasiewicz -norm. We also characterize all operations with respect to which all such tribes are closed. This generalizes the characterizations obtained so far for other fundamental -norms, e. g., for the product -norm.
Michel Talagrand, David H. Fremlin (1979)
Mathematische Zeitschrift
Jun Li (2003)
Kybernetika
In this paper, we investigate Egoroff’s theorem with respect to monotone set function, and show that a necessary and sufficient condition that Egoroff’s theorem remain valid for monotone set function is that the monotone set function fulfill condition (E). Therefore Egoroff’s theorem for non-additive measure is formulated in full generality.
Marcin E. Kuczma (1976)
Colloquium Mathematicae
Capri, O.N., Fava, N.A. (1987)
Portugaliae mathematica
Bianca Satco (2006)
Czechoslovak Mathematical Journal
This paper presents a Komlós theorem that extends to the case of the set-valued Henstock-Kurzweil-Pettis integral a result obtained by Balder and Hess (in the integrably bounded case) and also a result of Hess and Ziat (in the Pettis integrability setting). As applications, a solution to a best approximation problem is given, weak compactness results are deduced and, finally, an existence theorem for an integral inclusion involving the Henstock-Kurzweil-Pettis set-valued integral is obtained.
John Burgess (1980)
Fundamenta Mathematicae
Taylor, Keith F., Wang, Xikui (1993)
International Journal of Mathematics and Mathematical Sciences
Pl. Kannappan (1980)
Metrika
F. Cholewinski, D. Haimo, A. Nussbaum (1970)
Studia Mathematica
P. Kříž, Josef Štěpán (2014)
Commentationes Mathematicae Universitatis Carolinae
The present article studies the conditions under which the almost everywhere convergence and the convergence in measure coincide. An application in the statistical estimation theory is outlined as well.
Anna Kucia, Andrzej Nowak (1993)
Acta Universitatis Carolinae. Mathematica et Physica
Camilli, F. (1999)
Zeitschrift für Analysis und ihre Anwendungen
Josef Štěpán (2003)
Mathematica Slovaca
James Foran (1976)
Fundamenta Mathematicae
Beloslav Riečan (1971)
Časopis pro pěstování matematiky
Galina Horáková, Ján Šipoš (1979)
Mathematica Slovaca
Piotr Niemiec (2012)
Annales Polonici Mathematici
A topological space Y is said to have (AEEP) if the following condition is satisfied: Whenever (X,) is a measurable space and f,g: X → Y are two measurable functions, then the set Δ(f,g) = x ∈ X: f(x) = g(x) is a member of . It is shown that a metrizable space Y has (AEEP) iff the cardinality of Y is not greater than .
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