Polyhedral representations of discrete differential manifolds

Details Polyhedral representations of discrete differential manifolds Polyhedral representations of discrete differential manifolds

1996-02-27

arxiv.org/abs/dg-ga/9602010v1

Journal of Mathematical Physics, 38, 2741-2750 (1997)

Mathematics

Differential Geometry

LaTeX, 35 Kb, submitted to JMP

Scientific paper

10.1063/1.532014

Any discrete differential manifold $M$ (finite set endowed with an algebraic
differential calculus) can be represented by appropriate polyhedron ${\cal
P}(M)$. This representation demonstrates the adequacy of the calculus of
discrete differential manifolds and links this approach with that based on
finitary substitutes of continuous spaces introduced by R.D.Sorkin.

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