7 citations · 12 across the 6 of their papers we have counts for
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The Quillen model structure on the category of diffeological spaces
Tadayuki Haraguchi, Kazuhisa Shimakawa
We construct on the category of diffeological spaces a Quillen model structure having smooth weak homotopy equivalences as the class of weak equivalences.
On homotopy types of diffeological cell complexes
Tadayuki Haraguchi, Kazuhisa Shimakawa
We introduce the notion of smooth cell complexes and its subclass consisting of gathered cell complexes within the category of diffeological spaces (cf. Definitions 1 and 3). It is…
Homotopy structures of smooth CW complexes
Tadayuki Haraguchi
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 t…
Long exact sequences for de Rham cohomology of diffeological spaces
Tadayuki Haraguchi
In this paper we present the notion of de Rham cohomology with compact support for diffeological spaces. Moreover we shall discuss the existence of three long exact sequences. As a…
On model structure for coreflective subcategories of a model category
Tadayuki Haraguchi
Let be a coreflective subcategory of a cofibrantly generated model category . In this paper we show that under suitable conditions admits a cofibrantly gener…
Homology and cohomology via enriched bifunctors
K. Shimakawa, K. Yoshida, T. Haraguchi
We show that the category of numerically generated pointed spaces is complete, cocomplete, and monoidally closed with respect to the smash product, and then utilize these features…