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math.AT2007★ 11 cited
A theory of bundles over posets
John E. Roberts, Giuseppe Ruzzi, Ezio Vasselli
In algebraic quantum field theory the spacetime manifold is replaced by a suitable base for its topology ordered under inclusion. We explain how certain topological invariants of t…
math.AT2006★ 5 cited
A cohomological description of connections and curvature over posets
John E. Roberts, Giuseppe Ruzzi
What remains of a geometrical notion like that of a principal bundle when the base space is not a manifold but a coarse graining of it, like the poset formed by a base for the topo…