Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616111 | Journal of Mathematical Analysis and Applications | 2014 | 17 Pages |
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
Michael Dymond,