Algebraic approximation preserving dimension

作者：Ferrarotti M; Fortuna E^*; Wilson L

来源：Annali di Matematica Pura ed Applicata, 2017, 196(2): 519-531.

DOI：10.1007/s10231-016-0583-6

• Real algebraic sets
• Semialgebraic sets
• Approximation

We prove that each semialgebraic subset of 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.

• 出版日期2017-4