Gamboa Mutuberria, José ManuelFernando Galván, José Francisco2023-06-202023-06-202012-040002-993910.1090/S0002-9939-2011-10989-4https://hdl.handle.net/20.500.14352/42170In this work we study how open and closed semialgebraic maps between two semialgebraic sets extend, via the corresponding spectral maps,to the Zariski and maximal spectra of their respective rings of semialgebraic and bounded semialgebraic functions.engjournal articlehttp://www.ams.org/journals/proc/2012-140-04/S0002-9939-2011-10989-4/S0002-9939-2011-10989-4.pdfhttp://www.ams.orgrestricted access512.7Semialgebraic functionsemialgebraic setZariski spectrummaximal spectrumopen and closed mapsproper mapBezoutianquotient mapSpacesRingsMathematicsAppliedGeometria algebraica1201.01 Geometría Algebraica