Conjuntos preanalíticos
Conferenze
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Sunto
Si studiano le proprietà algebriche degli insiemi preanalitici definiti annullando le funzioni degli ideali dell'anello\(\bar A = A[||f_1 |, \ldots ,|f_r |]\), ove A è l'anello delle funzioni analitiche sopra un insieme, aperto connesso Ω di R n , edf1∈A, i=1,...,r.
Summary
In this paper one study the algebraic properties of some sets, called preanalitic sets, defined by the vanishing of the functions of the ideals of the ring\(\bar A = A[||f_1 |, \ldots ,|f_r |]\), whereA is the ring of analitic functions over a connected open set Ω of R n andf1∈A, i=1,...,r.
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Referencias
- [1]Lojasiewicz S.,Ensembles Semi-Analytiques. Centre de Physique théorique de l'Ecole Polytechnique. (Policopié). 1965.Google Scholar
- [2]Hironaka H.,Subanalytic sets. Number Theory, Algebraic Geometry, and Commutative Algebra, in honor of Y. Akizuki, Kinokuniya, Tokyo, 1973, 453–493.Google Scholar
Copyright information
© Birkhäuser-Verlag 1974