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On the geometry of symmetric and alternating forms

✍ Scribed by Donald G James


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
611 KB
Volume
88
Category
Article
ISSN
0021-8693

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Forms of the Pasch axiom in ordered geom
✍ Victor Pambuccian πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 88 KB πŸ‘ 1 views

## 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)