Castilla, A.Andradas Heranz, Carlos2023-06-202023-06-2019960075-410210.1515/crll.1996.475.137https://hdl.handle.net/20.500.14352/57163Let 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.Connected components of global semianalytic subsets of 2-dimensional analytic manifolds.journal articlehttp://gdz.sub.uni-goettingen.de/no_cache/dms/load/toc/?IDDOC=238618metadata only access512.7globally semianalytic setsGeometria algebraica1201.01 GeometrĂ­a Algebraica