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math.FA2012
Directional Lower Porosity
Gareth Speight
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…
math.FA2012★ 5 cited
Surfaces Meeting Porous Sets in Positive Measure
Gareth Speight
Let n>2 and X be a Banach space of dimension strictly greater than n. We show there exists a directionally porous set P in X for which the set of C^1 surfaces of dimension n meetin…