%0 Journal Article %A Castilla, A. %A Andradas Heranz, Carlos %T Connected components of global semianalytic subsets of 2-dimensional analytic manifolds. %D 1996 %@ 0075-4102 %U https://hdl.handle.net/20.500.14352/57163 %X 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. %~