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math.CT2000
Weak -categories as -hypergraphs
Hiroyuki Miyoshi, Toru Tsujishita
In this paper, firstly, we introduce a higher-dimensional analogue of hypergraphs, namely -hypergraphs. This notion is thoroughly flexible because unlike ordinary -graphs, an…
math.CT1999
Higher dimensional hypercategories
Akira Higuchi, Hiroyuki Miyoshi, Toru Tsujishita
We introduce higher dimensional hypergraphs, which is a generalization of Baez-Dolans's opetopic sets and Hermida-Makkai-Power's multigraphs. This is based on a simple combinatoria…