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

1973
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Pacific Journal of Mathematics
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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. l Introduction. A theory of surface area for mappings beyond the class of continuous mappings was initiated in [2] . This theory includes certain essentially discontinuous mappings for which it seems natural that the area be given by the classical integral formula. Let Q = R n Π {x: 0 < x t < 1

doi:10.2140/pjm.1973.44.509
fatcat:bqlx5dibhrbwfkvmqgl3jgfvei