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math.CT2025
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…
math.CT2025
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…