It is shown that graphs with finite mass of mappings which are smooth except for isolaled points, where they are continuous, can be approximated in area by graphs of smooth maps. The continuity hypothesis is then removed if the dimension n is strictly larger than the eodimension N or if the dimension n is at least 3.
Approximation in Area of Graphs with Isolated Singularities / Mucci, Domenico. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - 88:2(1995), pp. 135-146. [10.1007/BF02567811]
Approximation in Area of Graphs with Isolated Singularities
MUCCI, Domenico
1995
Abstract
It is shown that graphs with finite mass of mappings which are smooth except for isolaled points, where they are continuous, can be approximated in area by graphs of smooth maps. The continuity hypothesis is then removed if the dimension n is strictly larger than the eodimension N or if the dimension n is at least 3.
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