Products of complexes and Fréchet spaces which are manifolds

West, James E.

doi:10.1090/S0002-9947-1972-0293679-6

Products of complexes and Fréchet spaces which are manifolds
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by James E. West PDF

Trans. Amer. Math. Soc. 166 (1972), 317-337 Request permission

Abstract:

It is shown that if a locally finite-dimensional simplicial complex is given the “barycentric” metric, then its product with any Fréchet space X of suitably high weight is a manifold modelled on X, provided that X is homeomorphic to its countably infinite Cartesian power. It is then shown that if X is Banach, all paracompact X-manifolds may be represented (topologically) by such products.

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Small extensions of small homeomorphisms

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