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- W2034867875 abstract "A smooth manifold can be defined as the pair (M, C), where C is a family of functions on a set M, satisfying suitable axioms. The manifold concept can be easily generalized by dropping the axiom ensuring the manifold to be locally diffeomorphic to Rn. The resulting concept, the so-called d-space, turns out to be a geometrically workable structure. The existence of the pseudo-Riemannian structure (both Riemannian and Lorentz) on d-spaces is discussed. It is proposed to model the physical space-time by a d-space rather than by a manifold. In some quantum gravity situations space-time may still be a d-space but already not a manifold." @default.
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- W2034867875 date "1988-12-01" @default.
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- W2034867875 title "A generalization of manifolds as space‐time models" @default.
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- W2034867875 doi "https://doi.org/10.1063/1.528098" @default.
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