2 citations · 2 across the 3 of their papers we have counts for
4 papers
Beyond Eckmann-Hilton: Commutativity in Higher Categories
Thibaut Benjamin, Ioannis Markakis, Wilfred Offord +2
We show that in a weak globular -category, all composition operations are equivalent and commutative for cells with sufficiently degenerate boundary, which can be considered a h…
Naturality for higher-dimensional path types
Thibaut Benjamin, Ioannis Markakis, Wilfred Offord +2
We define a naturality construction for the operations of weak omega-categories, as a meta-operation in a dependent type theory. Our construction has a geometrical motivation as a…
CaTT contexts are finite computads
Thibaut Benjamin, Ioannis Markakis, Chiara Sarti
Two novel descriptions of weak ω-categories have been recently proposed, using type-theoretic ideas. The first one is the dependent type theory CaTT whose models are ω-categories.…
homotopy.io: a proof assistant for finitely-presented globular -categories
Nathan Corbyn, Lukas Heidemann, Nick Hu +3
We present the proof assistant homotopy.io for working with finitely-presented semistrict higher categories. The tool runs in the browser with a point-and-click interface, allowing…