Chains of higher level orderings

DOI10.1090/conm/008/653181zbMath0509.12021OpenAlexW4238576795MaRDI QIDQ4748232

Jonathan Harman

Publication date: 1982

Published in: Ordered fields and real algebraic geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/008/653181

zbMATH Keywords

Archimedean orderhigher level orderingchain closurechain of orderingsn-Pythagorean field

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ordered fields (12J15) Valued fields (12J10)

Related Items (14)

The structure of spaces of \(\mathbb{R}\)-places of rational function fields over real closed fields ⋮ Density of composite places in function fields and applications to real holomorphy rings ⋮ Topological spaces as spaces of \(\mathbb R\)-places ⋮ The space of \(\mathbb{R}\)-places on a rational function field ⋮ Number of connected components of a real variety and \(\mathbb{R}\)-places ⋮ Powers of totally positive subgroups of fields ⋮ On rings admitting orderings and 2-primary chains of orderings of higher level ⋮ The space of real places on \(\mathbb{R}(x; y)\) ⋮ Simple axiomatizations of Rolle fields ⋮ Metrizability of Spaces of ℝ-places of Function Fields of Transcendence Degree 1 Over Real Closed Fields ⋮ The model theory of chain-closed fields ⋮ Valuation fans and residually closed Henselian fields ⋮ Some model theory for almost real closed fields ⋮ A positivstellensatz for chain-closed fields, \({\mathbb{R}}((t))\) and some related fields

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