[gr-qc/0505138] Fibered Manifolds, Natural Bundles, Structured Sets, G-Sets and all that: The Hole Story from Space Time to Elementary Particles

Authors: J. Stachel, M. Iftime

Date: Sat, 28 May 2005

Abstract: In this paper we review the hole argument for the space-time points and elementary particles and generalize the hole argument to include all geometric object fields and diffeomorphisms; and, by application of forgetful functors to abstract from differentiability and even continuity, the hole argument is applied to a much wider class of mathematical objects. We discuss the problem concerning the individuation of the objects in more general settings such that fibered manifolds, fibered sets and n-ary relations.

abs pdf

May 30, 2005

0505138 (/preprints/gr-qc)
2005-05-30, 11:23 [edit]

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