Título: | Connected components of global semianalytic subsets of 2-dimensional analytic manifolds. |
Autores: | Castilla, A. ; Andradas Heranz, Carlos |
Tipo de documento: | texto impreso |
Editorial: | WALTER DE GRUYTER, 1996 |
Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Geometria algebraica , Tipo = Artículo |
Resumen: |
Let M be a connected paracompact real analytic manifold and S a semi-analytic subset. The following results are proved: 1) If dim(M) = 2 and S is globally semianalytic, then every connected component of S is again globally semianalytic. 2) S is globally semianalytic, if and only if its boundary Bd(S) is globally semianalytic. |
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