Graphs of finite mass which cannot be approximated in area by smooth graphs. (English) Zbl 0796.58006

The authors show that there is an obstruction of homotopic nature besides the homological one to the approximation in area of maps \(u:B_ 1 \to R^ 2\). More precisely, it is constructed a class of Cartesian currents that cannot be approximated weakly and in area by smooth graphs.
Reviewer: D.Motreanu (Iaşi)


58C06 Set-valued and function-space-valued mappings on manifolds
46G10 Vector-valued measures and integration
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