2026-08-23T19:29:49Zhttps://docta.ucm.es/rest/oai/requestoai: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
2023-06-18T06:49:23Z
2015-12-17
journal article
https://hdl.handle.net/20.500.14352/24309
0025-5831
10.1007/s00208-015-1342-5
eng
GAAR MTM2011-22435
MTM2014-55565
(GNSAGA - INdAM)
UCM 910444
Grant PRX14/00016
restricted access
Springer