Universidad Complutense de Madrid
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Nash triviality in families of Nash mappings

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Escribano Martínez, Jesús (2001) Nash triviality in families of Nash mappings. Annales de l'institut Fourier, 51 (5). pp. 1209-1228. ISSN 1777-5310

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URL Oficial: https://eudml.org/doc/115945


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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.


Tipo de documento:Artículo
Materias:Ciencias > Matemáticas > Geometría diferencial
Código ID:24290
Depositado:21 Ene 2014 11:37
Última Modificación:07 Feb 2014 11:15

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