Baro González, Elías (2011) On the o-minimal LS-category. Israel Journal of mathematics, 185 (1). pp. 61-76. ISSN 0021-2172
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | O-minimality; LS-category; Definable groups; Homotopy equivalences |
| Subjects: | Sciences > Mathematics > Algebra |
| ID Code: | 14499 |
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| Deposited On: | 01 Feb 2012 16:30 |
| Last Modified: | 01 Feb 2012 16:31 |
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