Abstract and Applied Analysis
Volume 2005 (2005), Issue 5, Pages 535-541
doi:10.1155/AAA.2005.535
A generalized σ-porous set with a small complement
Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague, Zikova 4, Praha 6 166 27, Czech Republic
Received 29 October 2003
Copyright © 2005 Jaroslav Tišer. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We show that in every Banach space, there is a g-porous set, the complement of which is of ℋ1-measure zero on every C1 curve.