nLab
model structure on Delta-generated topological spaces

Statement

Proposition

The category of Delta-generated topological spaces carries the structure of a cofibrantly generated model category with the same generating (acyclic) cofibrations as for the classical model structure on topological spaces and such that the reflection into all topological spaces (this Prop.) is a Quillen equivalence to the classical model structure on topological spaces.

(Haraguchi 13, Theorem 3.3)

Related concepts

• model structure on topological spaces

  • classical model structure on topological spaces

    • classical model structure on pointed topological spaces

  • Strøm model structure

  • model structure on Delta-generated topological spaces

• model structure on diffeological spaces

References

• Tadayuki Haraguchi, On model structure for coreflective subcategories of a model category (arXiv:1304.3622, MR3289294, Zbl 1311.55027)