Products of complexes and Fréchet spaces which are manifolds

James E. West
1972 Transactions of the American Mathematical Society  
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 Jfis Banach, all paracompact A'-manifolds may be represented (topologically) by such products.
doi:10.1090/s0002-9947-1972-0293679-6 fatcat:wmppywgwfreinhl6aulz6afo7y