Abstract and Applied Analysis
Volume 2005 (2005), Issue 5, Pages 535-541

A generalized σ-porous set with a small complement

Jaroslav Tišer

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.


We show that in every Banach space, there is a g-porous set, the complement of which is of 1-measure zero on every C1 curve.