RT Book, Section
T1 Ultrametric spaces, valued and semivalued groups arising from the theory of shape
A1 Cuchillo Ibáñez, Eduardo
A1 Alonso Morón, Manuel
A1 Romero Ruiz Del Portal, Francisco
AB In this paper we construct many generalizad ultrametrics in the sets of shape morphisms between topological spaes. We recognize a topology in these sets which is independen on the shape representation of the spaces. We construct valuations an semivaluations on groups of shape equivalences and on n-th shape groups. We also connect shape theory, for arbitrary topological spaces, with the algebraic theory of generalized ultrametric spaces developed by S. Priess-Crampe and P. Ribenboim among other authors.
PB UCM
SN 978-84-695-4421-1
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/45360
UL https://hdl.handle.net/20.500.14352/45360
LA eng
NO Directorate General for Higher Education (Portugal)
DS Docta Complutense
RD 24 ago 2025