On representations of Baire functions in a given family as sums of Baire Darboux functions with a common summand
Hwang Wen Pu, Huo Hui Min Pu (1987)
Časopis pro pěstování matematiky
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Hwang Wen Pu, Huo Hui Min Pu (1987)
Časopis pro pěstování matematiky
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Mykhaylyuk, V.V. (2007)
International Journal of Mathematics and Mathematical Sciences
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Karol Baron (2009)
Open Mathematics
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We establish conditions under which Baire measurable solutions f of defined on a metrizable topological group are continuous at zero.
Jiří Spurný (2007)
Commentationes Mathematicae Universitatis Carolinae
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We prove that any Baire-one usco-bounded function from a metric space to a closed convex subset of a Banach space is the pointwise limit of a usco-bounded sequence of continuous functions.
Ferrando, J.C. (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Jaroslav Fuka, Petr Holický (2005)
Commentationes Mathematicae Universitatis Carolinae
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The notion of -convergence of a sequence of functions is stronger than pointwise convergence and weaker than uniform convergence. It is inspired by the investigation of ill-posed problems done by A.N. Tichonov. We answer a question posed by M. Katětov around 1970 by showing that the only analytic metric spaces for which pointwise convergence of a sequence of continuous real valued functions to a (continuous) limit function on implies -convergence are -compact spaces. We show that...