2017
Том 69
№ 6

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A criterion for Banach manifolds with a separable model to be finite-dimensional

Savkin V. I.

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Abstract

We give an example of a continuous bijective mapping with a discontinuous inverse which acts in a separable Banach space and differs from the identical mapping only in an open unit ball. A criterion for Banach manifolds with a separable model to be finite-dimensional is established in terms of the continuity of inverse operators.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 8, pp 1210-1214.

Citation Example: Savkin V. I. A criterion for Banach manifolds with a separable model to be finite-dimensional // Ukr. Mat. Zh. - 1994. - 46, № 8. - pp. 1099–1103.

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