We present a fgeneralization of the $\mathcal{T}_{c}-$density topologyintroduced in \cite{wo5} as a topology ivolving both a category and measureapproach to the notion of density. We construct an ascending sequence $\left\{ \mathcal{T}_{\mathcal{A}_{c\left( n\right) }}\right\} _{n\in\mathbb{N} }$ of density topologies which leads to the $\mathcal{T}_{\mathcal{A}_{c\left( \omega \right) }}-$density topology including all previoustopologies. We examine several basic properties of the topologies.
@article{273,
title = {A generalization of the C-density topology},
journal = {Tatra Mountains Mathematical Publications},
volume = {62},
year = {2015},
doi = {10.2478/tatra.v62i0.273},
language = {EN},
url = {http://dml.mathdoc.fr/item/273}
}
Wojdowski, Wojciech. A generalization of the C−density topology. Tatra Mountains Mathematical Publications, Tome 62 (2015) . doi : 10.2478/tatra.v62i0.273. http://gdmltest.u-ga.fr/item/273/