Geodesic
Topologies related to (x^α)-porosity
Acta Universitatis Lodziensis. Folia Mathematica, Tome 05 (1992)

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L. Zajiček, using the notion of porosity, defined superporosity, the porosity topology and the *-porosity topology. In our paper we introduce the equivalents of these notions which we get by replacing porosity with (x^α)-porosity and (x^α, c)-porosity. We examine relationships among the notions which we define in such a way for different α and c. 
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     author = {Filipczak, Tomasz},
     title = {Topologies related to (x^\ensuremath{\alpha})-porosity},
     journal = {Acta Universitatis Lodziensis. Folia Mathematica},
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     year = {1992},
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Filipczak, Tomasz. Topologies related to (x^α)-porosity. Acta Universitatis Lodziensis. Folia Mathematica, Tome 05 (1992). http://geodesic.mathdoc.fr/item/AULFM_1992_05_a9/