• \(\pi_1(X)\) can be defined for schemes, see etale fundamental group.
  • What are the higher homotopy groups of schemes? #todo/questions
    • What do they measure?
    • More fundamentally, what do higher homotopy groups of spheres measure about \({\mathsf{Top}}\) at all??
  • What are the Eilenberg-MacLane spaces in \({\mathsf{Sch}}\)?
  • What are the Moore spaces in \({\mathsf{Sch}}\)?
    • There should be an axiomatic characterization of these coming from model categories
  • What are the “spheres” for \({\mathsf{Sch}}\)?
#web/quick-notes #todo/questions