RT Journal Article
T1 Ultrametrics and infinite dimensional whitehead theorems in shape theory
A1 Alonso Morón, Manuel
A1 Romero Ruiz Del Portal, Francisco
AB 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.
PB Springer
SN 0025-2611
YR 1996
FD 1996
LK https://hdl.handle.net/20.500.14352/57360
UL https://hdl.handle.net/20.500.14352/57360
NO 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.
DS Docta Complutense
RD 6 abr 2025