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Título:
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Complexity of global semianalytic sets in a real analytic manifold of dimension 2
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Autores:
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Andradas Heranz, Carlos ;
Díaz-Cano Ocaña, Antonio
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Tipo de documento:
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texto impreso
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Editorial:
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WALTER DE GRUYTER, 2001
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometria algebraica
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Tipo = Artículo
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Resumen:
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Let X subset of R-n be a real analytic manifold of dimension 2. We study the stability index of X, s(X), that is the smallest integer s such that any basic open subset of X can be written using s global analytic functions. We show that s(X) = 2 as it happens in the semialgebraic case. Also, we prove that the Hormander-Lojasiewicz inequality and the Finiteness Theorem hold true in this context. Finally, we compute the stability index for basic closed subsets, S, and the invariants t and (t) over bar for the number of unions of open (resp. closed) basic sets required to describe any open (resp. closed) global semianalytic set.
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En línea:
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https://eprints.ucm.es/id/eprint/14768/1/08.pdf
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