Work

Diffeomorphisms between spheres and hyperplanes in infinite-dimensional Banach spaces

Year: 1997
Type: article
Abstract: We prove that for every infinite-dimensional Banach space X with a Fréchet differentiable norm, the sphere $S_X$ is diffeomorphic to each closed hyperplane in X. We also prove that every infinite-dimensional Banach space Y having a (not necessarily equiva
Language: English
Open Access status: bronze
OpenAlex ID: W43971794
FWCI: 0.518
Cites: 12
Cited by: 15
Related to: 9