|
Título:
|
On the o-minimal LS-category
|
|
Autores:
|
Baro González, Elías
|
|
Tipo de documento:
|
texto impreso
|
|
Editorial:
|
Springer Verlag, 2011
|
|
Dimensiones:
|
application/pdf
|
|
Nota general:
|
info:eu-repo/semantics/openAccess
|
|
Idiomas:
|
|
|
Palabras clave:
|
Estado = Publicado
,
Materia = Ciencias: Matemáticas: Álgebra
,
Tipo = Artículo
|
|
Resumen:
|
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.
|
|
En línea:
|
https://eprints.ucm.es/id/eprint/14499/1/LScat.pdf
|
