Introduces c-direct categories with proofs on model structures and realization functors, then defines ε-branching spaces for A-sets that coincide with prior definitions on free cases and are ε-independent up to homotopy when cofibrant.
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math.CT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The tame realization turns precubical sets into multipointed d-spaces whose execution paths match nonconstant tame d-paths, inducing a Moore flow functor naturally weakly equivalent to a colimit-preserving one in the h-model structure.
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Branching spaces of transverse sets
Introduces c-direct categories with proofs on model structures and realization functors, then defines ε-branching spaces for A-sets that coincide with prior definitions on free cases and are ε-independent up to homotopy when cofibrant.
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Directed path and Moore flow
The tame realization turns precubical sets into multipointed d-spaces whose execution paths match nonconstant tame d-paths, inducing a Moore flow functor naturally weakly equivalent to a colimit-preserving one in the h-model structure.