Directional Lower Porosity
Functional Analysis
2014-08-29 v1 Classical Analysis and ODEs
Metric Geometry
Abstract
We investigate differences between upper and lower porosity. In finite dimensional Banach spaces every upper porous set is directionally upper porous. We show the situation is very different for lower porous sets; there exists a lower porous set in the plane which is not even a countable union of directionally lower porous sets.
Keywords
Cite
@article{arxiv.1209.4491,
title = {Directional Lower Porosity},
author = {Gareth Speight},
journal= {arXiv preprint arXiv:1209.4491},
year = {2014}
}
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8 pages