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Acquistapace, Francesca and Broglia, Fabrizio and Fernando Galván, José Francisco (2015) On globally defined semianalytic sets. Mathematische Annalen . pp. 142. ISSN 00255831

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Official URL: http://link.springer.com/article/10.1007%2Fs0020801513425#page1
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Abstract
In this work we present the concept of Csemianalytic subset of a real analytic manifold and more generally of a real analytic space. Csemianalytic sets can be understood as the natural generalization to the semianalytic setting of global analytic sets introduced by Cartan (Canalytic sets for short). More precisely S is a Csemianalytic 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 Cemianalytic sets are the locally finite unions of finite boolean combinations of global analytic equalities and strict inequalities on X. The family of Csemianalytic sets is closed.
Item Type:  Article 

Subjects:  Sciences > Mathematics > Algebraic geometry 
ID Code:  35249 
Deposited On:  01 Feb 2016 08:15 
Last Modified:  01 Feb 2016 09:57 
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