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On some modification of Darboux property

Mathematica Slovaca, 2016-02, Vol.66 (1), p.79-88 [Peer Reviewed Journal]

Copyright Walter de Gruyter GmbH 2016 ;ISSN: 0139-9918 ;EISSN: 1337-2211 ;DOI: 10.1515/ms-2015-0117

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  • Title:
    On some modification of Darboux property
  • Author: Ivanova, Gertruda ; Wagner-Bojakowska, Elżbieta
  • Is Part Of: Mathematica Slovaca, 2016-02, Vol.66 (1), p.79-88
  • Description: Abstract We introduce some family of functions f : ℝ → ℝ modifying Darboux property analogously as it was done in GRANDE, Z.: On a subclass of the family of Darboux functions, Colloq. Math. 117 (2009), 95-104, and changing approximate continuity with -approximate continuity, i.e. continuity with respect to the -density topology. We prove that our family is a strongly porous set in the space of Darboux functions having the Baire property and that each function from our family is quasi-continuous.
  • Publisher: Heidelberg: Walter de Gruyter GmbH
  • Language: English;Czech;French;German;Russian;Slovak
  • Identifier: ISSN: 0139-9918
    EISSN: 1337-2211
    DOI: 10.1515/ms-2015-0117
  • Source: ProQuest Central
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