We prove that each semialgebraic subset of R^n of positive codimension can be locally approximated of any order by means of an algebraic set of the same dimension. As a consequence of previous results, algebraic approximation preserving dimension holds also for semianalytic sets.

Algebraic approximation preserving dimension

FORTUNA, ELISABETTA;
2016-01-01

Abstract

We prove that each semialgebraic subset of R^n of positive codimension can be locally approximated of any order by means of an algebraic set of the same dimension. As a consequence of previous results, algebraic approximation preserving dimension holds also for semianalytic sets.
2016
Ferrarotti, M.; Fortuna, Elisabetta; Wilson, L.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/803193
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