학술
기타
Directed paths and Moore flows
arXiv Math
CC BY
이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.Abstract
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.
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