Alonso Morón, ManuelRomero Ruiz Del Portal, Francisco2023-06-202023-06-201996Alonso Morón, M. y Romero Ruiz Del Portal, F. «Ultrametrics and Infinite Dimensional Whitehead Theorems in Shape Theory». Manuscripta Mathematica, vol. 89, n.o 1, diciembre de 1996, pp. 325-33. DOI.org (Crossref), https://doi.org/10.1007/BF02567521.0025-261110.1007/BF02567521https://hdl.handle.net/20.500.14352/57360We 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.journal articlehttps//doi.org/10.1007/BF02567521http://www.springerlink.com/content/p682110q57204015/metadata only access515.143515.124Pointed shape theoryWhitehead theoremShape morphismCantor completion processInvariant ultrametricShape theoryTopología1210 Topología