TY - JOUR AU - Fernando Galván, José Francisco PY - 2014 DO - 10.1017/S1474748014000206 SN - 1474-7480 UR - https://hdl.handle.net/20.500.14352/33872 T2 - Journal of the Institute of Mathematics of Jussieu AB - Let R⊂F be an extension of real closed fields and S(M,R) the ring of (continuous) semialgebraic functions on a semialgebraic set M⊂Rn. We prove that every R-homomorphism φ:S(M,R)→F is essentially the evaluation homomorphism at a certain point p∈Fn \em... LA - eng PB - Cambridge Univ. Press KW - semialgebraic set KW - ring of semialgebraic functions KW - extension of coefficients KW - evaluation homomorphisms KW - substitution theorem KW - weak continuous extension property TI - On the substitution theorem for rings of semialgebraic functions TY - journal article ER -