On Dragilev spaces and the functor Ext (Q1092366)

This paper is concerned with rapidly increasing Dragilev functions. It answers two questions - one of Dragilev, and one of Kashimir. Dragilev conjectured that if f and g are rapidly increasing functions, the spaces \(L_ f(a,l)\) and \(L_ g(b,\infty)\) can never be isomorphic. Here the author gives an example of two such spaces which are isomorphic and also gives conditions when this occurs. The construction also gives a counterexample to a conjecture of Kashimir that all \(d_ 1\)-spaces are isomorphic to an \(S_ g(b,\infty)\) space. The main idea in the paper is to use the functor Ext as an invariant for these spaces.