Topological spaces as spaces of \(\mathbb R\)-places

DOI10.1016/j.jpaa.2010.06.029zbMath1223.12008OpenAlexW1967231632MaRDI QIDQ626725

Katarzyna Osiak, Ido Efrat

Publication date: 18 February 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.06.029

zbMATH Keywords

formally real fieldBoolean spacespace of orderingsspace of \(R\)-places

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ordered fields (12J15) Valued fields (12J10)

Cites Work

• The Boolean space of \({\mathbf R}\)-places
• The reduced theory of quadratic forms
• Characterizing reduced Witt rings of fields
• Fields with prescribed quadratic form schemes
• Artin exponent of finite groups
• Real places and ordered fields
• Spaces of Orderings IV
• The Boolean Space of Orderings of a Field
• Classification of Finite Spaces of Orderings
• Chains of higher level orderings
• On a real places of a field and their holomorphy ring
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