Stable Homology as an Indicator of Manifoldlikeness in Causal Set Theory

A. Weil, “Sur les theoremes de de Rham”, Commentarii Mathematici Helvetici 26

1950

Earlier work this paper cites.

R. P. Geroch, “Topology in general relativity,” J. Math. Phys. 8

1967

Earlier work this paper cites.

David Malament, “The class of continuous timelike curves determines the topology of space-time”, J. Math. Phys

1977

Earlier work this paper cites.

James R. Munkres. Elements of Algebraic Topology

1984

Earlier work this paper cites.

R. D. Sorkin, “On Topology Change And Monopole Creation,” Phys. Rev. D 33

1986

Earlier work this paper cites.

L. Bombelli, J. H. Lee, D. Meyer and R. Sorkin, “Space-Time As A Causal Set,” Phys. Rev. Lett. 59

1987

Earlier work this paper cites.

D.A. Meyer, The Dimension of Causal Sets. Ph.D. thesis, MIT (1988)

1988

Earlier work this paper cites.

G. Brightwell and R. Gregory, “The Structure Of Random Discrete Space-Time,” Phys. Rev. Lett. 66

1991

Earlier work this paper cites.

R.P. Stanley, Enumerative Combinatorics, vol. 1, Wadsworth and Brooks/Cole, Pacific Grove, CA, 1986 G/A second printing, Cambridge University Press, Cambridge, 1997;

1997

Earlier work this paper cites.

F. Dowker and S. Surya, Phys. Rev. D 58

1998

Cited alongside, same era.

David P. Rideout and Rafael D. Sorkin. “Classical sequential growth dynamics for causal sets.” Phys. Rev. D

2000

Cited alongside, same era.

X. Martin, D. O’Connor, D. P. Rideout and R. D. Sorkin, “On the ’renormalization’ transformations induced by cycles of expansion and contraction in causal set cosmology,” Phys. Rev. D 63

2001

Cited alongside, same era.

R. D. Sorkin, School on Quantum Gravity, Valdivia, Chile, 4-14 Jan 2002. Published in Valdivia 2002, “Lectures on quantum gravity” 305-327, arXiv:gr-qc/0309009

2002

Cited alongside, same era.

Springer, Berlin, 2003

T. Goodale, G. Allen, G. Lanfermann, J. Massó, T. Radke, E. Seidel, and J. Shalf, “The Cactus framework and toolkit: Design and applications,” in Vector and Parallel Processing — VECPAR 2002, 5th International Conference · 2003

Cited alongside, same era.

Seth Major, David Rideout, and Sumati Surya. “ Spatial hypersurfaces in causal set cosmology.” Class. Quantum Grav

2006

Later among the works it cites.

The causal set toolkit is described briefly in: D. Rideout and P. Wallden, “Spacelike distance from discrete causal order,” arXiv:0810.1768 [gr-qc], and D. Rideout and S. Zohren, “Evidence for an entropy bound from fundamentally discrete gravity,” Class. Quant. Grav. 23

Original

2006

Later among the works it cites.

Joe Henson. “Constructing an interval of Minkowski space from a causal set.” Class.Quant.Grav

2006

Later among the works it cites.

R. D. Sorkin, “Does locality fail at intermediate length scales?”, in D. Oriti (ed), “ Approaches to Quantum Gravity - Toward a new understanding of space and time

2006

Later among the works it cites.

M. Varadarajan and D. Rideout, “A general solution for classical sequential growth dynamics of causal sets,” Phys. Rev. D 73