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20112026
most citedDifferentiability, Porosity and Doubling in Metric Measure Spaces

29 citations · 43 across the 21 of their papers we have counts for

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Showing 2012Show all

2 papers · 1 filter

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…