2026-06-29T07:30:40Zhttps://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

Ultrametrics and infinite dimensional whitehead theorems in shape theory Alonso Morón, Manuel Romero Ruiz Del Portal, Francisco 515.143 515.124 Pointed shape theory Whitehead theorem Shape morphism Cantor completion process Invariant ultrametric Shape theory Topología 1210 Topología 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. Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T16:53:45Z 2023-06-20T16:53:45Z 1996 journal article https://hdl.handle.net/20.500.14352/57360 0025-2611 10.1007/BF02567521 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. metadata only access Springer