RT Journal Article
T1 On o-minimal homotopy groups
A1 Baro González, Elías
A1 Otero, Margarita
AB 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.
PB Oxford University Press
SN 0033-5606
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42048
UL https://hdl.handle.net/20.500.14352/42048
LA eng
NO Baro E, Otero M. ON O-MINIMAL HOMOTOPY GROUPS. The Quarterly Journal of Mathematics 2010;61:275–89. https://doi.org/10.1093/qmath/hap011.
NO GEOR
DS Docta Complutense
RD 18 abr 2025