On open and closed morphisms between semialgebraic sets

DOI10.1090/S0002-9939-2011-10989-4zbMath1256.14060OpenAlexW1977758730MaRDI QIDQ5389382

José F. Fernando, Jose Manuel Gamboa

Publication date: 26 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10989-4

zbMATH Keywords

proper mapsemialgebraic setBezoutianquotient mapsemialgebraic functionmaximal spectrumZariski spectrumopen and closed maps

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Semialgebraic sets and related spaces (14P10) Real-valued functions in general topology (54C30) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (3)

On the remainder of the semialgebraic Stone-Čech compactification of a semialgebraic set ⋮ On the size of the fibers of spectral maps induced by semialgebraic embeddings ⋮ Spectral maps associated to semialgebraic branched coverings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Krull dimension of rings of continuous semialgebraic functions
• Inequalities defining orbit spaces
• Quotient spaces for semialgebraic equivalence relations
• On the semialgebraic Stone–Čech compactification of a semialgebraic set
• Commutative Rings in Which Every Prime Ideal is Contained in a Unique Maximal Ideal

This page was built for publication: On open and closed morphisms between semialgebraic sets