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math.HO2020
The Baumkuchen Theorem
Masanori Ando, Tadayuki Haraguchi
In this paper, we present the Baumkuchen Theorem related to the combination of divided Baumkuchen pieces. It can be proved using the basic properties of elementary geometry. We als…
math.AT2020
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.