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Locally definable homotopy

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Baro González, Elías y Otero, Margarita (2010) Locally definable homotopy. Annals of Pure and Applied Logic, 161 (4). pp. 488-503. ISSN 0168-0072

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URL Oficial: http://www.sciencedirect.com/science/journal/01680072



Resumen

In [E. Baro, M. Otero, On o-minimal homotopy, Quart. J. Math. (2009) 15pp, in press (doi:10.1093/qmath/hap011)] o-minimal homotopy was developed for the definable category, proving o-minimal versions of the Hurewicz theorems and the Whitehead theorem. Here, we extend these results to the category of locally definable spaces, for which we introduce homology and homotopy functors. We also study the concept of connectedness in V-definable groups - which are examples of locally definable spaces. We show that the various concepts of connectedness associated to these groups, which have appeared in the literature, are non-equivalent.


Tipo de documento:Artículo
Palabras clave:O-minimality; Locally definable space; Locally definable group; Connectedness; O-minimal homotopy; Homotopy functor; Homology functor
Materias:Ciencias > Matemáticas > Lógica simbólica y matemática
Código ID:14472
Depositado:30 Ene 2012 08:31
Última Modificación:06 Feb 2014 10:02

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