Toposes in General Theory of Relativity

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dc.creatorGuts, Alexandr K.
dc.creatorGrinkevich, Egor B.
dc.date1996-10-31
dc.date.accessioned2026-07-07T03:31:21Z
dc.date.available2026-07-07T03:31:21Z
dc.descriptionWe study in this paper different topos-theoretical approaches to the problem of construction of General Theory of Relativity. In general case the resulting space-time theory will be non-classical, different from that of the usual Einstein theory of space-time. This is a new theory of space-time, created in a purely logical manner. Four possibitities are investigated: axiomatic approach to causal theory of space-time, the smooth toposes as a models of Theory of Relativity, Synthetic Theory of Relativity, and space-time as Grothendieck topos.
dc.description13 pages, LATEX, email guts@univer.omsk.su, grinkev@univer.omsk.su
dc.identifierhttps://arxiv.org/abs/gr-qc/9610073
dc.identifierhttp://arxiv.org/abs/gr-qc/9610073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35829
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleToposes in General Theory of Relativity
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