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A criterion for Banach manifolds to be finite-dimensional

We extend the results obtained in [1] to the case of arbitrary Banach spaces and manifolds. We give an example of a continuous bijective mapping with discontinuous inverse which acts in a Banach space and differs from the identical mapping only in an open unit ball. A criterion for a Banach manifold...

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Bibliographic Details
Date:	1995
Main Authors:	Savkin, V. I., Савкин, В. И.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 1995
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/5567
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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