2026-06-28T15:23:51Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/420482024-11-20T07:12:38Zcom_20.500.14352_14col_20.500.14352_15

On o-minimal homotopy groups Baro González, Elías Otero, Margarita 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. 2023-06-20T00:07:59Z 2023-06-20T00:07:59Z 2023-06-20T00:07:59Z 2010 journal article https://hdl.handle.net/20.500.14352/42048 0033-5606 10.1093/qmath/hap011 eng info:eu-repo/grantAgreement/MICINN//MTM2008-00272/ES/GEOMETRIA REAL/ Grupos UCM 910444 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. restricted access Oxford University Press