Characterizations of manifolds modeled on absorbing sets in non-separable Hilbert spaces and the discrete cells property
Volume 167 / 2022
Colloquium Mathematicum 167 (2022), 127-147
MSC: Primary 57N20; Secondary 54F65, 57N75.
DOI: 10.4064/cm7879-12-2020
Published online: 24 May 2021
Abstract
We characterize infinite-dimensional manifolds modeled on absorbing sets in non-separable Hilbert spaces by using the discrete cells property, which is a general position property. Moreover, we study the discrete (locally finite) approximation property, which is an extension of the discrete cells property.
