Beitr\ EMIS ELibM Electronic Journals Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 46, No. 2, pp. 397-404 (2005)

Previous Article

Next Article

Contents of this Issue

Other Issues


ELibM Journals

ELibM Home

EMIS Home

 

On boundaries of unions of sets with positive reach}

J. Rataj

Mathematical Institute of Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic, e-mail: rataj@karlin.mff.cuni.cz}}

Abstract: A local regular behavior at almost all boundary points of a set in $\rd$ representable as a locally finite union of sets with positive reach is shown. As an application, a limit formula for the volume of dilation of such a set with a small convex body is derived.

Classification (MSC2000): 53C65, 52A22

Full text of the article:


Electronic version published on: 18 Oct 2005. This page was last modified: 29 Dec 2008.

© 2005 Heldermann Verlag
© 2005–2008 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition