RT Journal Article
T1 On the irreducible components of globally definedsemianalytic sets.
A1 Fernando Galván, José Francisco
AB t In this work we present the concept of amenable C-semianalytic subset of a real analytic manifold M and study the main properties of this type of sets. Amenable C-semianalytic sets can be understood as globally defined semianalytic sets with a neat behavior with respect to Zariski closure. This fact allows us to develop a natural definition of  irreducibility and the corresponding theory of irreducible components for amenable Csemianalytic sets. These concepts generalize the parallel ones for: complex algebraic and analytic sets, C-analytic sets, Nash sets and semialgebraic sets.
PB Springer
SN 0025-5874
YR 2016
FD 2016-08
LK https://hdl.handle.net/20.500.14352/18946
UL https://hdl.handle.net/20.500.14352/18946
LA spa
NO Dedicated to Prof. C. Andradas in occasion of his 60th birthday.
NO Ministerio de Ciencia e Innovación (MICINN)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 17 abr 2025