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Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/137875
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dc.contributor.authorBamberg, J.-
dc.contributor.authorPenttila, T.-
dc.date.issued2023-
dc.identifier.citationForum Mathematicum, 2023; 35(5):1301-1325-
dc.identifier.issn0933-7741-
dc.identifier.issn1435-5337-
dc.identifier.urihttps://hdl.handle.net/2440/137875-
dc.descriptionPublished Online: 2023-03-03-
dc.description.abstractH. L. Skala (1992) gave the first elegant first-order axiom system for hyperbolic geometry by replacing Menger’s axiom involving projectivities with the theorems of Pappus and Desargues for the hyperbolic plane. In so doing, Skala showed that hyperbolic geometry is incidence geometry. We improve upon Skala’s formulation by doing away with Pappus and Desargues altogether, by substituting for them two simpler axioms.-
dc.description.statementofresponsibilityJohn Bamberg, Tim Penttila-
dc.language.isoen-
dc.publisherDe Gruyter-
dc.rights© 2023 Walter de Gruyter GmbH, Berlin/Boston-
dc.source.urihttp://dx.doi.org/10.1515/forum-2022-0268-
dc.subjectHyperbolic plane; metric plane; first-order axiomatisation; abstract oval-
dc.titleSimpler foundations for the hyperbolic plane-
dc.typeJournal article-
dc.identifier.doi10.1515/forum-2022-0268-
dc.relation.granthttp://purl.org/au-research/grants/arc/FT120100036-
pubs.publication-statusPublished-
Appears in Collections:Mathematical Sciences publications

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