Calculus of Variations and Geometric Measure Theory
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G. Speight

Directional Lower Porosity

created by speight on 16 May 2017


Published Paper

Inserted: 16 may 2017
Last Updated: 16 may 2017

Journal: Real Analysis Exchange
Volume: 39
Number: 1
Pages: 45-56
Year: 2012

ArXiv: 1209.4491 PDF


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.

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