On compact metric spaces and the group of Baire equivalences
E. Lorch (1968)
Studia Mathematica
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Displaying similar documents to “Whitney C...-topologies and the Baire property.”
On compact metric spaces and the group of Baire equivalences
Remarks on Baire theorem for H-closed spaces
J. Mioduszewski (1971)
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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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Superposition of functions on monotonic functions
E. Torrance (1938)
Fundamenta Mathematicae
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Some remarks on -Baire-like and --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................................................................................................................
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.
Some remarks on the relation of classical set-valued mappings to the Baire classification
Kazimierz Kuratowski (1979)
Colloquium Mathematicum
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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.
On topological properties of the spaces of Darboux Baire 1 functions and bounded derivatives
Bożena Świątek (2004)
Colloquium Mathematicae
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We investigate the topological structure of the space 𝓓ℬ₁ of bounded Darboux Baire 1 functions on [0,1] with the metric of uniform convergence and with the p*-topology. We also investigate some properties of the set Δ of bounded derivatives.
Unordered Baire-like spaces without local convexity.
Jerzy Kakol, Walter Roelcke (1992)
Collectanea Mathematica
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The aim of the present paper is to study the class of tvs which we define by ommiting the word increasing in the definition of *-suprabarrelled spaces. We prove that the product of Baire tvs is *-UBL and hence the class of *-UBL spaces is stricty larger than the class of Baire spaces.