5 problems

Characterization conjecture. The infinity-topoi are exactly the Segal categories of simplicial presheaves on Grothendieck sites.

Let ${\mathscr{Green}}'$ and ${\mathscr{sTwist}}'$ be the simplicial presheaves obtained by replacing the simplices used in the constructions of ${\mathscr{Green}}$ and…

Let $i\colon{\mathscr{Green}}\hookrightarrow{\mathscr{sTwist}}$ be the inclusion of the simplicial presheaf of Green complexes into the simplicial presheaf of simplicial twisting c…

Let ${\mathscr{Green}}$ denote the simplicial presheaf assigning to each object the simplicial set of Green complexes. A simplicial presheaf is a presheaf of Kan complexes when eac…

Let ${\mathscr{sTwist}}$ and ${\mathscr{Green}}$ be the simplicial presheaves of simplicial twisting cochains and Green complexes, respectively. Green's resolution morphism conject…