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math.CT2004
Omega-categories and chain complexes
Richard Steiner
There are several ways to construct omega-categories from combinatorial objects such as pasting schemes or parity complexes. We make these constructions into a functor on a categor…
math.CT2000
Multiple categories: the equivalence of a globular and a cubical approach
Fahd A. A. Al-Agl, Ronald Brown, Richard Steiner
We show the equivalence of two kinds of strict multiple category, namely the well known globular omega-categories, and the cubical omega-categories with connections.