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In this paper, we characterize infinite-dimensional manifolds modeled onabsorbing sets in non-separable Hilbert spaces by using the discrete cellsproperty, which is a general position property. Moreover, we study the discrete(locally finite) approximation property, which is an extension of the discretecells property.

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