Publication: Sur le spectre réel des anneaux locaux complets.
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Publication Date
1986
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Elsevier
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Abstract
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.
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(French. English summary) [Real spectrum of complete local rings]