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

• Datum: 1994
• Hauptverfasser: Savkin, V. I., Савкин, В. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5666
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 c...