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