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Filomat 2013 Volume 27, Issue 2, Pages: 301-310
https://doi.org/10.2298/FIL1302301L
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On I-Baire spaces

Li Zhaowen (School of Science, Guangxi University for Nationalities, Nanning, Guangxi, P.R.China)
Lin Funing (School of Science, Guangxi University for Nationalities, Nanning, Guangxi, P.R.China)

In this paper, the concept of I-Baire spaces is introduced, and characterizations and properties of these spaces are given. It is shown that (X, 𝝉) is Baire if and only if (X, 𝝉, I) is I-Baire for any ideal I on X.

Keywords: Ideals, Baire spaces, 𝙸-Baire spaces, *-dense sets, nowhere *-dense sets, *-first category sets, topological sum