On the ideal convergence of sequences of quasi-continuous functions
Tomasz Natkaniec ; Piotr Szuca
Fundamenta Mathematicae, Tome 233 (2016), p. 269-280 / Harvested from The Polish Digital Mathematics Library

For any Borel ideal ℐ we describe the ℐ-Baire system generated by the family of quasi-continuous real-valued functions. We characterize the Borel ideals ℐ for which the ideal and ordinary Baire systems coincide.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:283176
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     author = {Tomasz Natkaniec and Piotr Szuca},
     title = {On the ideal convergence of sequences of quasi-continuous functions},
     journal = {Fundamenta Mathematicae},
     volume = {233},
     year = {2016},
     pages = {269-280},
     zbl = {06545386},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm99-12-2015}
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Tomasz Natkaniec; Piotr Szuca. On the ideal convergence of sequences of quasi-continuous functions. Fundamenta Mathematicae, Tome 233 (2016) pp. 269-280. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm99-12-2015/