%0 Journal Article %A Cuchillo Ibáñez, Eduardo %A Alonso Morón, Manuel %A Romero Ruiz Del Portal, Francisco %A Rodríguez Sanjurjo, José Manuel %T A topology for the sets of shape morphisms %D 1999 %@ 0166-8641 %U https://hdl.handle.net/20.500.14352/57310 %X We introduce a topology on the set of shape morphisms between arbitrary topological spaces X, Y, Sh(X, Y). These spaces allow us to extend, in a natural way, some classical concepts to the realm of topological spaces. Several applications are given to obtain relations between shape theory and N-compactness and shape-theoretic properties of the spaces of quasicomponents. %~