2026-08-23T20:11:05Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/243092023-08-25T20:16:26Zcom_20.500.14352_14col_20.500.14352_15

On globally defined semianalytic sets Acquistapace, Francesca Broglia, Fabrizio Fernando Galván, José Francisco In this work we present the concept of C-semianalytic subset of a real analytic manifold and more generally of a real analytic space. C-semianalytic sets can be understood as the natural generalization to the semianalytic setting of global analytic sets introduced by Cartan (C-analytic sets for short). More precisely S is a C-semianalytic subset of a real analytic space (X, OX ) if each point of X has a neighborhood U such that S ∩ U is a finite boolean combinations of global analytic equalities and strict inequalities on X. By means of paracompactness C-emianalytic sets are the locally finite unions of finite boolean combinations of global analytic equalities and strict inequalities on X. The family of C-semianalytic sets is closed. 2023-06-18T06:49:23Z 2023-06-18T06:49:23Z 2015-12-17 journal article 0025-5831 10.1007/s00208-015-1342-5 https://hdl.handle.net/20.500.14352/24309 http://link.springer.com/article/10.1007%2Fs00208-015-1342-5#page-1 http://link.springer.com eng GAAR MTM2011-22435 MTM2014-55565 (GNSAGA - INdAM) UCM 910444 Grant PRX14/00016 restricted access Springer