Jaroslav Tiser
A Generalized $\sigma$-porous Set with a Small Complement
Preprint series: ESI preprints

MSC:

46B20 Geometry and structure of normed linear spaces

Abstract: We show that in every Banach space there is a $g$-porous
set the complement of which is of $\HH^1$ measure zero on every $C^1$ curve.

Keywords: Porous set, Haussdorff measure