The paper is concerned with homeomorphisms on topological spaces $\left(\mathbb{R},\mathcal{T}_{f}\right) $, where $\mathcal{T}_{f}$ is a generalization of the density topology generated by a function $f$. It isshown that the density topology is not homeomorphic with any other topology $\mathcal{T}_{f}$ and that, under some assumptions, homeomorphic $f$-densitytopologies have to be comparable.
@article{84,
title = {On homeomorphisms of density type topologies generated by functions},
journal = {Tatra Mountains Mathematical Publications},
volume = {45},
year = {2010},
doi = {10.2478/tatra.v46i0.84},
language = {EN},
url = {http://dml.mathdoc.fr/item/84}
}
Filipczak, Małgorzata; Filipczak, Tomasz. On homeomorphisms of density type topologies generated by functions. Tatra Mountains Mathematical Publications, Tome 45 (2010) . doi : 10.2478/tatra.v46i0.84. http://gdmltest.u-ga.fr/item/84/