Graphs of finite mass which cannot be approximated in area by smooth graphs (Q1313526)
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scientific article; zbMATH DE number 492762
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Graphs of finite mass which cannot be approximated in area by smooth graphs |
scientific article; zbMATH DE number 492762 |
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Graphs of finite mass which cannot be approximated in area by smooth graphs (English)
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22 September 1994
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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.
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approximation
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currents
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graphs
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