Homotopy structures of smooth CW complexes

Abstract

In this paper we present the notion of smooth CW complexes given by attaching cubes on the category of diffeological spaces, and we study their smooth homotopy structures related to the homotopy extension property.

23 pages

References in corpus (3)

• A model structure on the category of diffeological spaces
• Quillen equivalences between the model categories of smooth spaces, simplicial sets, and arc-gengerated spaces
• On homotopy types of diffeological cell complexes

Cited by in corpus (1)

• Whitney Approximation for Smooth CW Complex