Bifurcation sets of definable functions in O-minimal structures
In this work we answer a question stated by Loi and Zaharia concerning trivialization of definable functions off the bifurcation set: we prove that definable functions are trivial off the bifurcation set, and the trivialization can be chosen definable.
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/58905 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/58905 |
| Access Level: | acceso abierto |
| Palabra clave: | 514/515 Manifolds Geometría diferencial 1204.04 Geometría Diferencial |
| Sumario: | In this work we answer a question stated by Loi and Zaharia concerning trivialization of definable functions off the bifurcation set: we prove that definable functions are trivial off the bifurcation set, and the trivialization can be chosen definable. |
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