Abstract and Applied Analysis
Volume 2009 (2009), Article ID 243604, 11 pages
doi:10.1155/2009/243604
Research Article

Porosity of Convex Nowhere Dense Subsets of Normed Linear Spaces

Filip Strobin1,2

1Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 21, 00-956 Warszawa, Poland
2Institute of Mathematics of the Technical University of Łódź, Wólczańska 215, 93-005, Łódź, Poland

Received 9 June 2009; Revised 24 September 2009; Accepted 29 November 2009

Academic Editor: Simeon Reich

Copyright © 2009 Filip Strobin. 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

This paper is devoted to the following question: how to characterize convex nowhere dense subsets of normed linear spaces in terms of porosity? The motivation for this study originates from papers of V. Olevskii and L. Zajíček, where it is shown that convex nowhere dense subsets of normed linear spaces are porous in some strong senses.