Homeomorphisms between function spaces.

Given a space X and topological group H, C(X;H) denotes the set of all continuous functions from a space X to a topological group H. For a subset A of a space X, X=A denotes the quotient space with quotient topology obtained from X by identifying A to a point. We study some homeomorphisms between C(X;H) and C(Y;H) for different X and Y under the point-open topology, open-point topology and bi-point-open topology. [ABSTRACT FROM AUTHOR]