Characterizations of manifolds modeled on absorbing sets in non-separable Hilbert spaces and the discrete cells property

Katsuhisa Koshino Colloquium Mathematicum 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.

Authors

  • Katsuhisa KoshinoFaculty of Engineering
    Kanagawa University
    Yokohama, 221-8686, Japan
    e-mail

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