Separation, factorization and finite sheaves on Nash manifolds
Michel Coste, Jesús M. Ruiz, Masahiro Shiota (1996)
Compositio Mathematica
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Displaying similar documents to “Global problems on Nash functions.”
Separation, factorization and finite sheaves on Nash manifolds
On global Nash functions
Jesús M. Ruiz, Masahiro Shiota (1994)
Annales scientifiques de l'École Normale Supérieure
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Nash functions on noncompact Nash manifolds
Michel Coste, Masahiro Shiota (2000)
Annales scientifiques de l'École Normale Supérieure
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On the relative Nash approximation of analytic maps.
Alberto Tancredi, Alberto Tognoli (1998)
Revista Matemática Complutense
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Nash triviality in families of Nash mappings
Jesús Escribano (2001)
Annales de l’institut Fourier
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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 . To substitute the integration of vector fields, we study the fibers of such families on points of the real spectrum and we construct models of proper Nash submersions over smaller real closed fields. Finally we obtain results on finiteness of topological...
A note on global Nash subvarieties and Artin-Mazur theorem
Alessandro Tancredi, Alberto Tognoli (2004)
Bollettino dell'Unione Matematica Italiana
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It is shown that every connected global Nash subvariety of is Nash isomorphic to a connected component of an algebraic variety that, in the compact case, can be chosen with only two connected components arbitrarily near each other. Some examples which state the limits of the given results and of the used tools are provided.