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On homeomorphisms of density type topologies generated by functions

In: Tatra Mountains Mathematical Publications, vol. 46, no. 2
Tomasz Filipczak - Małgorzata Filipczak
Detaily:
Rok, strany: 2010, 7 - 13
Kľúčové slová:
density point, density topology, homeomorphism.
O článku:
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 is shown that the density topology is not homeomorphic with any other topology $\mathcal{T}_{f}$ and that, under some assumptions, homeomorphic $f$-density topologies have to be comparable.
Ako citovať:
ISO 690:
Filipczak, T., Filipczak, M. 2010. On homeomorphisms of density type topologies generated by functions. In Tatra Mountains Mathematical Publications, vol. 46, no.2, pp. 7-13. 1210-3195.

APA:
Filipczak, T., Filipczak, M. (2010). On homeomorphisms of density type topologies generated by functions. Tatra Mountains Mathematical Publications, 46(2), 7-13. 1210-3195.