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

Jaroslav Tišer

Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University in Prague, Zikova 4, Praha 6 166 27, Czech Republic

Abstract

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.