In a topological Baire space some kind of abstractdensity topology is considered. The semiregularization of this typeof topology on the real line in many cases is the coarsest topologyfor which real functions continuous with respect to the abstractdensity topology are continuous.
@article{355,
title = {On semiregularization of some abstract density topologies involving sets having the Baire property},
journal = {Tatra Mountains Mathematical Publications},
volume = {65},
year = {2016},
doi = {10.2478/tatra.v65i0.355},
language = {EN},
url = {http://dml.mathdoc.fr/item/355}
}
Hejduk, Jacek; Wiertelak, Renata; Wodowski, Wojciech. On semiregularization of some abstract density topologies involving sets having the Baire property. Tatra Mountains Mathematical Publications, Tome 65 (2016) . doi : 10.2478/tatra.v65i0.355. http://gdmltest.u-ga.fr/item/355/