<abstract xmlns="http://www.w3.org/1999/xhtml"> The notion of AI -density point introduced in Wojdowski, W. A topology stronger than the Lebesgue density topology, in: Real Functions, Density Topology and Related Topics, Łódź Univ. Press, 2011, pp. 73-80 [WO1]. leads to the operator ΦAI (A) which is not a lower density operator. We present a counterexample giving a corrected definition which should be used in [WO1] to keep all results valid.</abstract>

The notion of AI -density point introduced in Wojdowski, W. A topology stronger than the Lebesgue density topology, in: Real Functions, Density Topology and Related Topics, Łódź Univ. Press, 2011, pp. 73-80 [WO1]. leads to the operator ΦAI (A) which is not a lower density operator. We present a counterexample giving a corrected definition which should be used in [WO1] to keep all results valid.

Corrigendum to a Category Analogue of The Generalization of Lebesgue Density Topology

Technical University of Łόdź Institute of Mathematics Wólczańska 215 PL–90-924 Łόdź POLAND

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The notion of AI -density point introduced in Wojdowski, W. A topology stronger than the Lebesgue density topology, in: Real Functions, Density Topology and...

Corrigendum to a Category Analogue of The Generalization of Lebesgue Density Topology

Online veröffentlicht: 04. Aug. 2016

Seitenbereich: 161 - 164

Eingereicht: 26. Feb. 2012

DOI: https://doi.org/10.1515/tmmp-2016-0014

Schlüsselwörter
density point, density topology

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Corrigendum to a Category Analogue of The Generalization of Lebesgue Density Topology

Online veröffentlicht: 04. Aug. 2016

Seitenbereich: 161 - 164

Eingereicht: 26. Feb. 2012

DOI: https://doi.org/10.1515/tmmp-2016-0014

Schlüsselwörterdensity point, density topology

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Schlüsselwörter
density point, density topology