Corrigendum to a Category Analogue of The Generalization of Lebesgue Density Topology
Aug 04, 2016
About this article
Published Online: Aug 04, 2016
Page range: 161 - 164
Received: Feb 26, 2012
DOI: https://doi.org/10.1515/tmmp-2016-0014
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© 2016
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 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.