On the extensiveness axiom for partial affine spaces (Q1912004)
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scientific article; zbMATH DE number 872721
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the extensiveness axiom for partial affine spaces |
scientific article; zbMATH DE number 872721 |
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On the extensiveness axiom for partial affine spaces (English)
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1996
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The author states that the result of \textit{S. Meuren} and \textit{A. Herzer} [ibid. 50, No. 1-2, 124-142 (1994; Zbl 0807.51002)] remains valid if the axiom \((R)\) is replaced by the weaker ones \((R_1)\), \((R_2)\). He presents an example of a geometry where \((R_1)\), \((R_2)\) hold but \((R)\) is false.
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geometric structures with parallelism
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partial linear space
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