Algebraic approximation preserving dimension
classification
🧮 math.AG
keywords
algebraicdimensionapproximationpreservingapproximatedcodimensionconsequenceholds
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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.
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