RT Journal Article
T1 The Positivstellensatz for definable functions on O-minimal structures
A1 Acquistapace, Francesca
A1 Andradas Heranz, Carlos
A1 Broglia, Fabrizio
AB In this note we prove two Positivstellensatze for definable functions of class C-r, 0 less than or equal to r < &INFIN;, in any o-minimal structure S expanding a real closed field R. Namely, we characterize the definable functions that are nonnegative (resp. strictly positive) on basic definable sets of the form F = {f(1) &GE; 0,...,f(k) &GE; 0}.
PB University of Illinois
SN 0019-2082
YR 2002
FD 2002
LK https://hdl.handle.net/20.500.14352/57152
UL https://hdl.handle.net/20.500.14352/57152
LA eng
NO GNSAGA
NO DGES
DS Docta Complutense
RD 9 abr 2025