Universal Relativity and Its Mathematical Requirements

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In this presentation, I review physical principles behind a recently proposed \cite{smw-utr} Universal Theory of Relativity and speculate on the mathematical requirements implied by these physical principles. Some unresolved issues will also be discussed.
8 pages, Talk presented at the South African Mathematical Society's 48th Meeting, October 31 - November 2, 2005, Rhodes University, Grahamstown, South Africa

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