Complexity and speed of semi-algebraic multi-persistence

Arindam Banerjee, Saugata Basu

Let $\mathrm{R}$ be a real closed field, $S\subset {\mathrm{R}}^n$ a closed and bounded semi-algebraic set, and $\mathbf{f}=(f_1,\dots ,f_p):S\to {\mathrm{R}}^p$ a continuous…