Konstruktion archimedischer Anordnungen von freien Ebenen (Q1155250)
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scientific article; zbMATH DE number 3730846
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Konstruktion archimedischer Anordnungen von freien Ebenen |
scientific article; zbMATH DE number 3730846 |
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Konstruktion archimedischer Anordnungen von freien Ebenen (English)
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1981
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The theorem is proved that every finitely generated free projective plane admits at least one archimedean order. Using a characterization of the archimedean ordered projective planes due to \textit{S. Priess-Crampe} [Math. Z. 99, 305--348 (1967; Zbl 0149.38601)] the above theorem yields the corollary: Every finitely generated free projective plane can be embedded as a projective subplane in a topological plane which is homeomorphic with the real projective plane.
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Archimedean order
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free planes
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