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We survey indications from different branches of Physics that the fine scale structure of spacetime is not adequately described by a manifold.
I. M. Gelfand, M. I. Graev and N. Ya Vilenkin Generalized Functions, vol 5: Academic Press, 1966
1966
Earlier work this paper cites.
D. Scott Boolean models and nonstandard analysis p. 87 in Applications of Model theory to algebra analysis and probability ed. W. Luxemburg, Holt Rinehart Winston 1967
1967
Earlier work this paper cites.
F. W. Lawvere Metric spaces, generalized logic and closed categories, Rend. Sem. Mat. e Fis. Milano 1973 135-166
1973
Earlier work this paper cites.
‘t Hooft, G. ; Veltman, M. ; Speiser, D, Diagrammar Plenum Publishing Corp 1974
1974
Earlier work this paper cites.
G. Mackey,The theory of unitary group representations, University of Chicago Press, 1976
1976
Earlier work this paper cites.
A. Joyal and M. Tierney An Extension of the Galois Theory of Grothendieck, AMS 1984
1984
Cited alongside, same era.
A. Pitts Applications of sup-lattice enriched category theory to sheaf theory Proc. London Math. Soc. 57 (3) 1988 433-480
1988
Cited alongside, same era.
S. MacLane and I Moerbeck Sheaves in Geometry and Logic Springer, 1992
1992
Cited alongside, same era.
C. J. Isham Topos Theory and Consistent Histories: The Internal Logic of the Set of all Consistent Sets Int.J.Theor.Phys. 36 (1997) 785-814
1997
Cited alongside, same era.
L. Crane, Categorical Geometry and the Mathematical Foundations of Quantum General Relativity; Contribution to the Cambridge University Press volume on Quantum Gravity, D. Oriti ed
Cited in the paper.
Alexander L. Rosenberg, Noncommutative schemes Compositio Mathematica Volume 112, Number 1 / May, 1998
1998
Later among the works it cites.
R. P. Gylys Sheaves On Quantaloids Lithuanian Mathematical Journal vol 40 No. 2 p 105, 2000
2000
Later among the works it cites.
J. Barrett and L. Crane A Lorentzian signature model for quantum general relativity CQG 17 (2000) p3101-3118
2000
Later among the works it cites.
J. Stachel, Einstein from B to Z Birkhauser 2002
2002
Later among the works it cites.
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A. Doering, C.J. Isham A Topos Foundation for Theories of Physics: I. Formal Languages for Physics; quant-ph/0703060
Cited in the paper.