%0 Journal Article
%A Alonso Morón, Manuel
%A Romero Ruiz Del Portal, Francisco
%T Ultrametrics and infinite dimensional whitehead theorems in shape theory
%D 1996
%@ 0025-2611
%U https://hdl.handle.net/20.500.14352/57360
%X We apply a Cantor completion process to construct a complete, non-Archimedean metric on the set of shape morphisms between pointed compacta. In the case of shape groups we obtain a canonical norm producing a complete, both left and right invariant ultrametric. On the other hand, we give a new characterization of movability and we use these spaces of shape morphisms and uniformly continuous maps between them, to prove an infinite-dimensional theorem from which we can show, in a short and elementary way, some known Whitehead type theorems in shape theory.
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