An extension of Hilbert's axioms of incidence and order to n dimensions

Graduate Thesis Or Dissertation

Público Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/mk61rm99q

Descriptions

Attribute Name	Values
Creator	Murray, Peter John
Abstract	This paper presents an extension of Hubert's incidence axioms to n dimensions and uses these and his order axioms to prove several theorems. We prove extensions of Pasch's Axiom, the Crossbar Theorem, and Desargues' Theorem for n dimensions. A non-Euclidean model is presented and proved to satisfy the axioms. In the last chapter we define n-polytope (n-dimensional complex) and prove, from the axioms given, that every n-polytope can be dissected into n-simplices.
Resource Type	Dissertation
Fecha Disponible	2010-07-19T15:26:46+00:00
Fecha de Emisión	1971-07-16
Degree Level	Doctoral
Degree Name	Doctor of Philosophy (Ph.D.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	1972
Advisor	Goheen, Harry
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Hilbert space
Declaración de derechos	Copyright Not Evaluated
Publisher	oregon state university
Peer Reviewed	No
Language	English [eng]
Digitization Specifications	File scanned at 300 ppi (Monochrome) using Capture Perfect 3.0.82 on a Canon DR-9080C in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR.
Replaces	http://hdl.handle.net/1957/16825

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