Publication:
Nash triviality in families of Nash mappings

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2001
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Association des Annales de l'Institut Fourier
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
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 (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.
Description
Keywords
Citation
Collections