Theorem on the differentiability of the inverse function is false for homeomorphisms of nonnormable Fr\'echet spaces
Matematičeskie zametki, Tome 47 (1990) no. 2, pp. 78-88.

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@article{MZM_1990_47_2_a10,
     author = {Yu. I. Prostov},
     title = {Theorem on the differentiability of the inverse function is false for homeomorphisms of nonnormable {Fr\'echet} spaces},
     journal = {Matemati\v{c}eskie zametki},
     pages = {78--88},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1990_47_2_a10/}
}
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Yu. I. Prostov. Theorem on the differentiability of the inverse function is false for homeomorphisms of nonnormable Fr\'echet spaces. Matematičeskie zametki, Tome 47 (1990) no. 2, pp. 78-88. http://geodesic.mathdoc.fr/item/MZM_1990_47_2_a10/