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On o-minimal homotopy groups

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Baro González, Elías y Otero, Margarita (2010) On o-minimal homotopy groups. Quarterly Journal of Mathematics , 61 (3). pp. 275-289. ISSN 0033-5606

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Resumen

We work over an o-minimal expansion of a real closed field. The o-minimal homotopy groups of a definable set are defined naturally using definable continuous maps. We prove that any two semialgebraic maps which are definably homotopic are also semialgebraically homotopic. This result together with known results on semialgebraic homotopy allows us to develop an o-minimal homotopy theory. In particular, we obtain o-minimal versions of the Hurewicz theorems and the Whitehead theorem.


Tipo de documento:Artículo
Palabras clave:O-minimal homotopy groups
Materias:Ciencias > Matemáticas > Álgebra
Código ID:14480
Depositado:30 Ene 2012 08:21
Última Modificación:06 Feb 2014 10:02

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