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Resolvability of I - density topology

100%

Wagner-Bojakowska E.

Zeszyty Naukowe Wyższej Szkoły Informatyki

2001

tom Vol. 1, Nr 1

35-37

Some modifications of density topologies

63%

Horbaczewska G. , Wagner-Bojakowska E.

Journal of Applied Analysis

2001

tom Vol. 7, nr 1

91-105

In this paper we introduce two topologies on the plane connected with the notions of density and I-density. Their definitions are based on the notion of a regular density point. We investigate connections between them and the density and I-density topologies on the plane and on the real line. We consider axioms of separation and functions continuous with respect to these topologies.

Microscopic and strongly microscopic sets on the plane. Fubini theorem and Fubini property

63%

Karasińska A. , Wagner-Bojakowska E.

Demonstratio Mathematica

2014

tom Vol. 47, nr 3

581--594

In this paper, we introduce the notions of microscopic and strongly microscopic sets on the plane and obtain a result analogous to Fubini Theorem.

On some subclasses of the family of Darboux Baire 1 functions

63%

Ivanova G. , Wagner-Bojakowska E.

Opuscula Mathematica

2014

tom Vol. 34, no. 4

777--788

We introduce a subclass of the family of Darboux Baire 1 functions f : R → R modifying the Darboux property analogously as it was done by Z. Grande in [On a subclass of the family of Darboux functions, Colloq. Math. 17 (2009), 95–104], and replacing approximate continuity with I-approximate continuity, i.e. continuity with respect to the I-density topology. We prove that the family of all Darboux quasi-continuous functions from the first Baire class is a strongly porous set in the space DB1 of Darboux Baire 1 functions, equipped with the supremum metric.