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

Katsuhisa Koshino

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arXiv · 1903.06378

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

Katsuhisa Koshino

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Abstract

In this paper, 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.

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Katsuhisa Koshino. 2019-03-15. Characterizations of topological manifolds modeled on absorbing sets in non-separable Hilbert spaces and the discrete cells property. https://arxiv.org/abs/1903.06378

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