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math.CT2025
Towards a theory of natural directed paths
Philippe Gaucher
We introduce the abstract setting of presheaf category on a thick category of cubes. Precubical sets, symmetric transverse sets, symmetric precubical sets and the new category of (…
math.CT2024
Homotopy theory of Moore flows (III)
Philippe Gaucher
The previous paper of this series shows that the q-model categories of -multipointed -spaces and of -flows are Quillen equivalent. In this paper, the s…