2026-06-27T10:20:30Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/573602024-07-09T13:07:39Zcom_20.500.14352_14col_20.500.14352_15

Alonso Morón, Manuel Romero Ruiz Del Portal, Francisco 2023-06-20T16:53:45Z 2023-06-20T16:53:45Z 1996 Alonso 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. 0025-2611 10.1007/BF02567521 https://hdl.handle.net/20.500.14352/57360 https//doi.org/10.1007/BF02567521 http://www.springerlink.com/content/p682110q57204015/ 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. metadata only access Ultrametrics and infinite dimensional whitehead theorems in shape theory journal article