Remarks and examples concerning unordered Baire-like and ultrabarrelled spaces
P. Dierolf, S. Dierolf, L. Drewnowski (1978)
Colloquium Mathematicae
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Displaying similar documents to “A gauge approach to an ordinal index of Baire one functions”
Remarks and examples concerning unordered Baire-like and ultrabarrelled spaces
Remarks on Baire theorem for H-closed spaces
J. Mioduszewski (1971)
Colloquium Mathematicae
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Superposition of functions on monotonic functions
E. Torrance (1938)
Fundamenta 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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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................................................................................................................
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 -Baire-like and --Baire-like spaces
Jerzy Kąkol (1986)
Mathematica Slovaca
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Baire outer kernels of sets.
Miller, Harry I. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Barely Baire spaces
W. Fleissner, K. Kunen (1978)
Fundamenta Mathematicae
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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.
Solution of Kuratowski's problem on function having the Baire property, I
Ryszard Frankiewicz, Kenneth Kunen (1987)
Fundamenta Mathematicae
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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.