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Minkowskian geometry, convexity conditions and the parallel axiom

✍ Scribed by H. Busemann; B. B. Phadke

Book ID
112652130
Publisher
Springer
Year
1979
Tongue
English
Weight
513 KB
Volume
12
Category
Article
ISSN
0047-2468

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## Abstract We prove that, in the framework of ordered geometry, the inner form of the Pasch axiom (**IP**) does not imply its outer form (**OP**). We also show that **OP** can be properly split into **IP** and the weak Pasch axiom (**WP**) (Β© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)