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- W2951042016 abstract "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." @default.
- W2951042016 created "2019-06-27" @default.
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- W2951042016 date "2009-05-09" @default.
- W2951042016 modified "2023-09-27" @default.
- W2951042016 title "On the o-minimal LS-category" @default.
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