RT Journal Article T1 Locally definable homotopy A1 Baro González, Elías A1 Otero, Margarita AB T. In [3] 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 W -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 PB Elsevier SN 0168-0072 YR 2010 FD 2010 LK https://hdl.handle.net/20.500.14352/42044 UL https://hdl.handle.net/20.500.14352/42044 LA eng NO GEOR DS Docta Complutense RD 10 abr 2025