Multiplicity and the area of an (n − 1) continuous mapping

Ronald Francis Gariepy

Vol. 44 (1973), No. 2, 509–513

DOI: 10.2140/pjm.1973.44.509

Abstract

For a class of mappings considered by Goffman and Ziemer [Annals of Math. 92 (1970)] it is shown that the area is given by the integral of a multiplicity function and a convergence theorem is proved.

Mathematical Subject Classification 2000

Primary: 28A75

Milestones

Received: 26 October 1971

Published: 1 February 1973