Nash triviality in families of Nash mappings
- [1] Universidad Complutense, Facultad de CC Matematcias, Departamento de Sistemas Informáticos y Programací on, 28040 Madrid (Espagne)
Annales de l’institut Fourier (2001)
- Volume: 51, Issue: 5, page 1209-1228
- ISSN: 0373-0956
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topEscribano, Jesús. "Nash triviality in families of Nash mappings." Annales de l’institut Fourier 51.5 (2001): 1209-1228. <http://eudml.org/doc/115945>.
@article{Escribano2001,
abstract = {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 $\widetilde\{R^p\}$ 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.},
affiliation = {Universidad Complutense, Facultad de CC Matematcias, Departamento de Sistemas Informáticos y Programací on, 28040 Madrid (Espagne)},
author = {Escribano, Jesús},
journal = {Annales de l’institut Fourier},
keywords = {Nash manifold; Nash mapping; Nash triviality; real spectrum},
language = {eng},
number = {5},
pages = {1209-1228},
publisher = {Association des Annales de l'Institut Fourier},
title = {Nash triviality in families of Nash mappings},
url = {http://eudml.org/doc/115945},
volume = {51},
year = {2001},
}
TY - JOUR
AU - Escribano, Jesús
TI - Nash triviality in families of Nash mappings
JO - Annales de l’institut Fourier
PY - 2001
PB - Association des Annales de l'Institut Fourier
VL - 51
IS - 5
SP - 1209
EP - 1228
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 $\widetilde{R^p}$ 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.
LA - eng
KW - Nash manifold; Nash mapping; Nash triviality; real spectrum
UR - http://eudml.org/doc/115945
ER -
References
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