Geodesic
A comparison of two notions of porosity
Commentationes Mathematicae, Tome 48 (2008) no. 2, pp. 209-219.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In the paper we compare two notions of porosity: the R-ball porosity \((R \rt 0)\) defined by Preiss and Zajı́ček, and the porosity which was introduced by Olevskii (here it will be called the O-porosity). We find this comparison interesting since in the literature there are two similar results concerning these two notions. We restrict our discussion to normed linear spaces since the R-ball porosity was originally defined in such spaces.
DOI : 10.14708/cm.v48i2.5273
Mots-clés : porosity, ball smallness, normed linear space 
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Filip Strobin. A comparison of two notions of porosity. Commentationes Mathematicae, Tome 48 (2008) no. 2, pp.  209-219. doi : 10.14708/cm.v48i2.5273. http://geodesic.mathdoc.fr/articles/10.14708/cm.v48i2.5273/

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