Geodesic
The existence of topologically inseparable transformations of a nonergodic $n$-dimensional domain
Matematičeskie zametki, Tome 3 (1968) no. 4, pp. 427-430 Cet article a éte moissonné depuis la source Math-Net.Ru

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The existence of topologically inseparable Lebesgue measure-preserving transformations of any nonergodic $n$-dimensional closed bounded connected domain is proved. 
@article{MZM_1968_3_4_a7,
     author = {E. A. Sidorov},
     title = {The existence of topologically inseparable transformations of a~nonergodic $n$-dimensional domain},
     journal = {Matemati\v{c}eskie zametki},
     pages = {427--430},
     year = {1968},
     volume = {3},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_4_a7/}
}
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E. A. Sidorov. The existence of topologically inseparable transformations of a nonergodic $n$-dimensional domain. Matematičeskie zametki, Tome 3 (1968) no. 4, pp. 427-430. http://geodesic.mathdoc.fr/item/MZM_1968_3_4_a7/