A note on the invariance of Baire spaces under mappings

Jozef Doboš

Loading [MathJax]/extensions/MathZoom.js

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

Displaying similar documents to “A note on the invariance of Baire spaces under mappings”

Remarks concerning the invariance of Baire spaces under mappings

Zdeněk Frolík (1961)

Czechoslovak Mathematical Journal

Similarity:

A note on mappings of Baire spaces

Tibor Neubrunn (1977)

Mathematica Slovaca

Similarity:

Preimages of Baire spaces

Jozef Doboš, Zbigniew Piotrowski, Ivan L. Reilly (1994)

Mathematica Bohemica

Similarity:

A simple machinery is developed for the preservation of Baire spaces under preimages. Subsequently, some properties of maps which preserve nowhere dense sets are given.

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.