2 problems

Take ${\mathbf{Top}}$ to be the category of $\Delta$-Hausdorff $\Delta$-generated spaces. Left properness conjecture. The q-model structures of ${\rm{\mathbf{{\mathcal{G}}dTop}}}$…

Let $K$ be a precubical set, and let $|K|^t_{reg}$ denote its regular multipointed $d$-space realization. A multipointed $d$-space is called h-cofibrant when it is cofibrant in the…