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.

Anexos:

• limits.pdf