2026/04/13 by Philippe Gaucher
Mathematics · #math.CT #math.AT
This addendum extends prior work to the non-regular setting by introducing the tame realization of a precubical set as a multipointed d-space. Its execution paths are precisely the nonconstant tame d-paths in the geometric realization of the precubical set. The associated Moore flow induces a functor from precubical sets to Moore flows, which is naturally weakly equivalent, within the h-model structure, to a colimit-preserving functor whose image is included in the class of m-cofibrant Moore flows. For spatial (and thus proper) precubical sets, these functors coincide.