RT Journal Article
T1 On globally defined semianalytic sets
A1 Acquistapace, Francesca
A1 Broglia, Fabrizio
A1 Fernando Galván, José Francisco
AB 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.
PB Springer
SN 0025-5831
YR 2015
FD 2015-12-17
LK https://hdl.handle.net/20.500.14352/24309
UL https://hdl.handle.net/20.500.14352/24309
LA eng
NO Universidad Complutense de Madrid
NO Ministerio de Educación, Cultura y Deporte (MECD)
DS Docta Complutense
RD 25 dic 2025