RT Journal Article
T1 Nash triviality in families of Nash mappings
A1 Escribano Martínez, Jesús
AB We study triviality of Nash families of proper Nash submersions or, in a more general setting, the triviality of pairs of proper Nash submersions. We work with Nash manifolds and mappings defined over an arbitrary real closed field R. To substitute the integration of vector fields, we study the fibers of such families on points of the real spectrum (R) over tilde (p) and we construct models of proper Nash submersions over smaller real closed fields. Finally we obtain results on finiteness of topological types in families of Nash mappings, and also results on effectiveness of the above constructions.
PB Association des Annales de l'Institut Fourier
SN 1777-5310
YR 2001
FD 2001
LK https://hdl.handle.net/20.500.14352/58906
UL https://hdl.handle.net/20.500.14352/58906
LA eng
DS Docta Complutense
RD 23 sept 2025