Subject: topology From: e.schwamb@t-online.de (Eugenia Schwamberger) Date: 22 Mar 2007 22:03 GMT Hello, I am writing a master thesis on numerable contractible spaces, i.e. spaces X which have a numerable cover {Ua} such that the inclusions Ua --> X are nullhomotopic. Each space of the homotopy type of a CW-complex is numerable contractible. Does anyone know of an example of a numerable contractible space which is not of the homotopy type of a CW-complex? Is the function space Top(K, X) numerable contractible if X is numerable contractible and K is compact? Thank you, Eugenia Schwamberger