T. Tsujishita

collaborators

2 papers

math.CT2000

Weak $ω$ -categories as $ω$ -hypergraphs

Hiroyuki Miyoshi, Toru Tsujishita

In this paper, firstly, we introduce a higher-dimensional analogue of hypergraphs, namely $ω$ -hypergraphs. This notion is thoroughly flexible because unlike ordinary $ω$ -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…

Weak ω-categories as ω-hypergraphs

Higher dimensional hypercategories

Weak $ω$ -categories as $ω$ -hypergraphs