Article ID Journal Published Year Pages File Type
4616111 Journal of Mathematical Analysis and Applications 2014 17 Pages PDF
Abstract

We give a constructive proof that any σ  -porous subset of a Hilbert space has Lebesgue measure zero on typical C1C1 curves. Further, we discover that this result does not extend to all forms of porosity; we find that even power-p   porous sets may meet many C1C1 curves in positive measure.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
,