The principal objective of this paper is to study the relationship between the old kingdom of differential geometry (the category of smooth manifolds) and its new kingdom (the category of functors on ...

We develop an axiomatic geometric approach and provide an unconventional review of modified/nonlinear gravity theories, MGTs, with modified dispersion relations, MDRs, encoding Lorentz invariance ...

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Abstract: We formulate and prove an axiomatic characterization of the Riemannian geometry underlying manifolds of conditional models. The characterization holds for both normalized and nonnormalized ...

Part of Proceedings, 6th International Workshop in Group Analysis of Differential Equations and Integrable Systems (GADEIS-VI): Protaras, Cyprus, June 17-21, 2012, 111-126 By exploring a possible ...

Abstract: We formulate and prove an axiomatic characterization of the Riemannian geometry underlying manifolds of conditional models. The characterization holds for both normalized and nonnormalized ...

I’d like to take a shot here at explaining some of the ideas on logic that Jim Dolan has been alluding to in his talks in the Geometric Representation Theory seminar, and eventually give an argument ...

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