%0 Journal Article
%A Baro González, Elías
%T On the o-minimal LS-category
%D 2011
%@ 0021-2172
%U https://hdl.handle.net/20.500.14352/42050
%X We 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.
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