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math.AT2025
Gray products of diagrammatic -categories
Clémence Chanavat
For each , diagrammatic sets admit a model structure whose fibrant objects are the diagrammatic - categories. They also support a not…
math.AT2024
Model structures for diagrammatic -categories
Clémence Chanavat, Amar Hadzihasanovic
Diagrammatic sets admit a notion of internal equivalence in the sense of coinductive weak invertibility, with similar properties to its analogue in strict -categories. We constr…
math.AT2024
Diagrammatic sets as a model of homotopy types
Clémence Chanavat, Amar Hadzihasanovic
Diagrammatic sets are presheaves on a rich category of shapes, whose definition is motivated by combinatorial topology and higher-dimensional diagram rewriting. These shapes includ…