Concerning continuity apart from a meager set-Reference-Cited by-同舟云学术

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Concerning continuity apart from a meager set

Published:1986 Issue:2 Volume:98 Page:324-328
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Kaniewski Janusz,Piotrowski Zbigniew

Abstract

Given a σ \sigma -ideal J \mathcal {J} of subsets of a space X X , mappings f : X → Y f:X \to Y are investigated, such that f | X 0 f|{X_0} is continuous for some closed X 0 ⊂ X {X_0} \subset X with X ∖ X 0 ∈ J X\backslash {X_0} \in \mathcal {J} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1986-098-02/S0002-9939-1986-0854041-3/S0002-9939-1986-0854041-3.pdf

Reference7 articles.

1. S. Banach, Théorème sur les ensembles de première catégorie, Fund. Math. 16 (1930), 395-398.

2. On functions having the Baire property;Emeryk, Adam;Bull. Acad. Polon. Sci. S\'{e}r. Sci. Math.,1979

3. K. Kuratowski, La propriété de Baire dans les espaces métriques, Fund. Math. 16 (1930), 390-394.

4. Studies in Logic and the Foundations of Mathematics, Vol. 86;Kuratowski, Kazimierz,1976

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On preserving continuity in ideal topological spaces;Georgian Mathematical Journal;2022-04-28

2. The ideal generated by σ-nowhere dense sets;Applied General Topology;2006-10-01

3. New Topologies from Old via Ideals;The American Mathematical Monthly;1990-04

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