Darboux functions related to generalization of approximately continuity

Ivanova, Gertruda; Karasińska, Aleksandra

doi:10.1016/j.topol.2017.04.026

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Terminology Notations and Previous Results1

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Cited by 4 publications

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“…In [2] the authors introduced the notion analogous to the ( * )-property for measures. Let L be a family of all measurable sets.…”

Section: Terminology Notations and Previous Resultsmentioning

confidence: 99%

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A-continuity and measure

Ivanova

Wagner-Bojakowska

2021

Lith Math J

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We introduce the notions of λ-Baire property and λ-semiopen set using sets of Lebesgue measure zero. For a family A of subsets of the real line, we define the (λ *)-property analogously as it was done in the category case for the (*)-property. The main result is that the family A of all subsets of the real line having the λ-Baire property has the (λ *)-property iff A is situated between the Euclidean topology and the family of λ-semiopen sets.

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“…In [2] the authors introduced the notion analogous to the ( * )-property for measures. Let L be a family of all measurable sets.…”

Section: Terminology Notations and Previous Resultsmentioning

confidence: 99%

“…Another example of such studies is given in [2]. Here the Baire property and the ( * )-property are replaced by measurability in the Lebesgue sense and the (d * )-property, respectively.…”

Section: Introductionmentioning

confidence: 99%