Polyhedral representations of discrete differential manifolds

Abstract

Any discrete differential manifold $M$ (finite set endowed with an algebraic differential calculus) can be represented by appropriate polyhedron $\mathcal{P}(M)$. 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.

LaTeX, 35 Kb, submitted to JMP

References in corpus (3)

• Discrete differential calculus, graphs, topologies and gauge theory
• Discrete Differential Manifolds and Dynamics on Networks
• POINTLESS SPACES IN GENERAL RELATIVITY

Cited by in corpus (1)

• Discrete Riemannian Geometry