Unordered Baire-like spaces without local convexity.

Jerzy Kakol; Walter Roelcke

Displaying similar documents to “Unordered Baire-like spaces without local convexity.”

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

Jerzy Kąkol (1986)

Mathematica Slovaca

Similarity:

Baire-like spaces C(X,E)

Jerzy Kakol (2000)

Revista Matemática Complutense

Similarity:

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 properties of subsets of R^k with the Baire property

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

Acta Universitatis Lodziensis. Folia Mathematica

Similarity:

Superposition of functions on monotonic functions

E. Torrance (1938)

Fundamenta Mathematicae

Similarity:

Remarks and examples concerning unordered Baire-like and ultrabarrelled spaces

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

Colloquium Mathematicae

Similarity:

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

Remarks on Baire theorem for H-closed spaces

J. Mioduszewski (1971)

Colloquium Mathematicae

Similarity:

Remarks concerning the invariance of Baire spaces under mappings

Zdeněk Frolík (1961)

Czechoslovak Mathematical Journal

Similarity:

Barely Baire spaces

W. Fleissner, K. Kunen (1978)

Fundamenta Mathematicae

Similarity:

Isomorphism Problems for the Baire Function Spaces of Topological Spaces

Choban, Mitrofan (1998)

Serdica Mathematical Journal

Similarity:

Let a compact Hausdorff space X contain a non-empty perfect subset. If α < β and β is a countable ordinal, then the Banach space Bα (X) of all bounded real-valued functions of Baire class α on X is a proper subspace of the Banach space Bβ (X). In this paper it is shown that: 1. Bα (X) has a representation as C(bα X), where bα X is a compactification of the space P X – the underlying set of X in the Baire topology generated by the Gδ -sets in X. 2. If 1 ≤ α < β ≤ Ω, where...

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

Zbigniew Grande (2009)

Colloquium Mathematicae

Similarity:

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.