nLab Local homotopy theory

This page is to record the reference:

• John F. Jardine:

  
  

  Local homotopy theory

  
  

  Springer Monographs in Mathematics (2015)

  doi:10.1007/978-1-4939-2300-7

on the abstract homotopy theory (model category theory) of presheaves of homotopy types (presenting $(\infty,1)$-topoi) and stable homotopy types (model structures on simplicial presheaves, model structures on sheaves of spectra, Brown-Gersten property, etc.) with an eye towards motivic homotopy theory.

Brief exposition in:

• John F. Jardine, Motivic spaces and the motivic stable category [pdf, pdf]

category: reference