Baro González, Elías2023-06-202023-06-202011Baro E. on the o-minimal LS-category. Isr J Math 2011;185:61–76. https://doi.org/10.1007/s11856-011-0101-x.0021-217210.1007/s11856-011-0101-xhttps://hdl.handle.net/20.500.14352/42050We introduce the o-minimal LS-category of definable sets in o-minimal expansions of ordered fields and we establish a relation with the semialgebraic and the classical one. We also study the o-minimal LS-category of definable groups. Along the way, we show that two definably connected definably compact definable groups G and H are definable homotopy equivalent if and only if L(G) and L(H) are homotopy equivalent, where L is the functor which associates to each definable group its corresponding Lie group via Pillay's conjecture.engjournal articlehttps://doi.org/10.1007/s11856-011-0101-x.restricted access512O-minimalityLS-categoryDefinable groupsHomotopy equivalencesÁlgebra1201 Álgebra