Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Packing regularity of sets in n-space

Xavier Saint Raymonda1 and Claude Tricota2

a1 Département de mathématiques, Université Paris-Sud, 91405 Orsay, France

a2 Département de mathématiques, Université du Québec à Montréal, Montréal, P.Q. H3C 3P8, Canada

The notion of packing measure, introduced in [12], [13] and [10], has been used by comparison with Hausdorif measure to study the regularity and rectifiability of sets in the plane [11]. Since a few technical mistakes can be found in [10], lemma 5·11 and [11], lemma 3·2, we wish in this paper to give the corresponding exact proofs, together with a natural development of this theory in higher dimensions.

(Received March 17 1987)

(Revised May 28 1987)