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.File in questo prodotto:
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