Preprint A506/2007
On the limit of families of algebraic subvarieties with unbounded volume

Luiz Henrique de Figueiredo | Camacho, Cesar

**Keywords: **

We prove that
the limit of a sequence of generic semi-algebraic sets
given by a finite number of formulas
always exists and
is a semi-algebraic set that
can be explicitly given as a Boolean expression involving
the primitives of the additive forms of the formulas.