---
date: 2021-05-13
tags: [ web/quick-notes ]
---


# 2021-05-13

## 00:14

- $\pi_1(X)$ can be defined for schemes, see [etale fundamental group](etale%20fundamental%20group.md).
- 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 $\Top$ at all??
- What are the [Eilenberg-MacLane spaces](Eilenberg-MacLane%20spaces.md) in $\Sch$?
- What are the Moore spaces in $\Sch$?
  - There should be an axiomatic characterization of these coming from [model categories](Model%20category%20theory.md)
- What are the "spheres" for $\Sch$?