Semicontinuity of maps which are limits of sequences of  Baire continuous multivalued maps

M. Matejdes

Displaying similar documents to “Semicontinuity of maps which are limits of sequences of Baire continuous multivalued maps”

Ranks for baire multifunctions

Pandelis Dodos (2003)

Colloquium Mathematicae

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Various ordinal ranks for Baire-1 real-valued functions, which have been used in the literature, are adapted to provide ranks for Baire-1 multifunctions. A new rank is also introduced which, roughly speaking, gives an estimate of how far a Baire-1 multifunction is from being upper semicontinuous.

Some remarks on the relation of classical set-valued mappings to the Baire classification

Kazimierz Kuratowski (1979)

Colloquium Mathematicum

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Superposition of functions on monotonic functions

E. Torrance (1938)

Fundamenta Mathematicae

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Remarks on Baire theorem for H-closed spaces

J. Mioduszewski (1971)

Colloquium Mathematicae

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Remarks and examples concerning unordered Baire-like and ultrabarrelled spaces

P. Dierolf, S. Dierolf, L. Drewnowski (1978)

Colloquium Mathematicae

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Some properties of subsets of R^k with the Baire property

Hejduk, Jacek (2015-11-10T11:42:31Z)

Acta Universitatis Lodziensis. Folia Mathematica

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Some remarks on $$ -Baire-like and $b$ - $$ -Baire-like spaces

Jerzy Kąkol (1986)

Mathematica Slovaca

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Baire spaces

R. C. Haworth, R. A McCoy

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CONTENTSIntroduction............................................................................................................ 5I. Basic properties of Baire spaces................................................................... 61. Nowhere dense sets............................................................................................... 62. First and second category sets............................................................................. 83. Baire spaces................................................................................................................

On the prolongation of restrictions of Baire 1 functions to functions which are quasicontinuous and approximately continuous

Zbigniew Grande (2009)

Colloquium Mathematicae

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Let I ⊂ ℝ be an open interval and let A ⊂ I be any set. Every Baire 1 function f: I → ℝ coincides on A with a function g: I → ℝ which is simultaneously approximately continuous and quasicontinuous if and only if the set A is nowhere dense and of Lebesgue measure zero.

On compact metric spaces and the group of Baire equivalences

E. Lorch (1968)

Studia Mathematica

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Baire-like spaces C(X,E)

Jerzy Kakol (2000)

Revista Matemática Complutense

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We characterize Baire-like spaces C(X,E) of continuous functions defined on a locally compact and Hewitt space X into a locally convex space E endowed with the compact-open topology.

Baire outer kernels of sets.

Miller, Harry I. (1981)

Publications de l'Institut Mathématique. Nouvelle Série

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