14 citations · 74 across the 28 of their papers we have counts for
4 papers · 1 filter
On spectral types of semialgebraic sets
José F. Fernando, J. M. Gamboa
In this work we prove that a semialgebraic set is determined (up to a semialgebraic homeomorphism) by its ring of (continuous) semialgebra…
On the substitution theorem for rings of semialgebraic functions
Jose F. Fernando
Let be an extension of real closed fields and the ring of (continuous) semialgebraic functions on a semialgebraic set . We prove that…
Approximation on Nash sets with monomial singularities
Elías Baro, José F. Fernando, Jesús M. Ruiz
This paper is devoted to the approximation of differentiable semialgebraic functions by Nash functions. Approximation by Nash functions is known for semialgebraic functions defined…
On the Krull dimension of rings of semialgebraic functions
José F. Fernando, J. M. Gamboa
Let be a real closed field and let be the ring of (continuous) semialgebraic functions on a semialgebraic set and let be it…