Alonso García, María EmiliaAndradas Heranz, Carlos2023-06-212023-06-2119860764-4442https://hdl.handle.net/20.500.14352/64612(French. English summary) [Real spectrum of complete local rings]We study the real spectrum of complete local rings with real closed residue field. We show that for every constructible subset C the following hold: (1) the closure C of C is constructible, and (2) C has a finite number of connected components and these are constructible. Also we define semialgebroid sets and show that they satisfy the same ‘elementary’ properties as semialgebraic sets.journal articlehttp://www.sciencedirect.com/science/journal/07644442metadata only access512.7Real spectrum of complete local ringsSemialgebroid setsSemialgebraic setsGeometria algebraica1201.01 Geometría Algebraica