Linear and $\mathbb {R}$-linear betweenness spaces

Juraj Šimko

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Displaying similar documents to “Linear and $ℝ$ -linear betweenness spaces”

Axiomatization and undecidability results for linear betweenness relations

Robert Mendris, Pavol Zlatoš (1996)

Mathematica Slovaca

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An $ℓ$ -algebra approach to Artin’s solution of Hilbert’s Seventeenth Problem

Stuart A. Steinberg (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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Using lattice-ordered algebras it is shown that a totally ordered field which has a unique total order and is dense in its real closure has the property that each of its positive semidefinite rational functions is a sum of squares.

Topology on ordered fields

Yoshio Tanaka (2012)

Commentationes Mathematicae Universitatis Carolinae

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An ordered field is a field which has a linear order and the order topology by this order. For a subfield $F$ of an ordered field, we give characterizations for $F$ to be Dedekind-complete or Archimedean in terms of the order topology and the subspace topology on $F$ .

The Cantor Extension of a Lexicographic Product of $l$ -Groups

Štefan Černák (1973)

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Displaying similar documents to “Linear and ℝ -linear betweenness spaces”

Axiomatization and undecidability results for linear betweenness relations

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The Cantor Extension of a Lexicographic Product of l -Groups

Displaying similar documents to “Linear and $ℝ$ -linear betweenness spaces”

An $ℓ$ -algebra approach to Artin’s solution of Hilbert’s Seventeenth Problem

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