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- Title
A new look on Baire spaces.
- Authors
Duszyński, Zbigniew
- Abstract
The classical version of Baire category theorem was proved independently in 1897 by W. Osgood [Non-uniform convergence and the integration of series term by term, Amer. J. Math., 19 (1897), 155-190] and in 1899 by R. Baire [Sur les fonctions de variable reeles, Annali di Mat. Pura et Appi., 3 (1899), 65]. Our paper offers several characterizations and properties of Baire spaces with respect to the class of semi-open sets. Generalizations of Baire Category Theorem in this context are established.
- Subjects
BAIRE spaces; BAIRE classes; CATEGORIES (Mathematics); STOCHASTIC convergence; GENERALIZATION
- Publication
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică, 2018, Vol 64, Issue 1, p1
- ISSN
1221-8421
- Publication type
Article