<abstract xmlns="http://www.w3.org/1999/xhtml"><p> We present a generalization of the T<sub>c</sub> -density topology introduced in [WO5] as a topology involving both category and measure approach to the notion of density. We construct an ascending sequence <inline-formula><alternatives><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/Untitled-1.jpg"></inline-graphic></alternatives></inline-formula> of density topologies which leads to <inline-formula><alternatives><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/Untitled-2.jpg"></inline-graphic></alternatives></inline-formula> -density topology including all previous topologies. We examine several basic properties of the topologies.</p></abstract>

We present a generalization of the Tc -density topology introduced in [WO5] as a topology involving both category and measure approach to the notion of density. We construct an ascending sequence  of density topologies which leads to  -density topology including all previous topologies. We examine several basic properties of the topologies.

A generalization of the c-density topology

Department of Mathematics Technical University of Łódź ul. Wólczanska 215 PL-90-924 Łódź POLAND

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"A generalization of the c-density topology"}

We present a generalization of the Tc -density topology introduced in [WO5] as a topology involving both category and measure approach to the notion of...

A generalization of the c-density topology

Published Online: Sep 25, 2015

Page range: 67 - 87

Received: Dec 04, 2013

DOI: https://doi.org/10.1515/tmmp-2015-0006

© 2015

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.