A comparison of two notions of porosity

Filip Strobin

Commentationes Mathematicae (2008)

  • Volume: 48, Issue: 2
  • ISSN: 2080-1211

Abstract

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In the paper we compare two notions of porosity: the R-ball porosity ( R 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.

How to cite

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Filip Strobin. "A comparison of two notions of porosity." Commentationes Mathematicae 48.2 (2008): null. <http://eudml.org/doc/291822>.

@article{FilipStrobin2008,
abstract = {In the paper we compare two notions of porosity: the R-ball porosity $(R 0)$ 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.},
author = {Filip Strobin},
journal = {Commentationes Mathematicae},
keywords = {porosity; ball smallness; normed linear space},
language = {eng},
number = {2},
pages = {null},
title = {A comparison of two notions of porosity},
url = {http://eudml.org/doc/291822},
volume = {48},
year = {2008},
}

TY - JOUR
AU - Filip Strobin
TI - A comparison of two notions of porosity
JO - Commentationes Mathematicae
PY - 2008
VL - 48
IS - 2
SP - null
AB - In the paper we compare two notions of porosity: the R-ball porosity $(R 0)$ 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.
LA - eng
KW - porosity; ball smallness; normed linear space
UR - http://eudml.org/doc/291822
ER -

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