Geodesic
Approximation by Maps with Nonnegative Jacobian
Matematičeskie zametki, Tome 93 (2013) no. 2, pp. 263-275

Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of approximating continuous maps by smooth maps with nonnegative Jacobian is considered.
Keywords: approximation by maps with nonnegative Jacobian, locally one-to-one map, Brouwer degree, light map, Schoenflies' theorem. 
@article{MZM_2013_93_2_a10,
     author = {D. V. Radchenko},
     title = {Approximation by {Maps} with {Nonnegative} {Jacobian}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {263--275},
     publisher = {mathdoc},
     volume = {93},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_93_2_a10/}
}
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D. V. Radchenko. Approximation by Maps with Nonnegative Jacobian. Matematičeskie zametki, Tome 93 (2013) no. 2, pp. 263-275. http://geodesic.mathdoc.fr/item/MZM_2013_93_2_a10/