Hiroshi Kihara

activity

20122022

most citedModel category of diffeological spaces

11 citations · 17 across the 9 of their papers we have counts for

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math.AT2022

$C^{\infty}$ -manifolds with skeletal diffeology

Hiroshi Kihara

We formulate and study the notion of $d$ -skeletal diffeology, which generalizes that of wire diffeology, introducing the dual notion of $d$ -coskeletal diffeology. We first show tha…

math.AT2022

Smooth singular complexes and diffeological principal bundles

Hiroshi Kihara

In previous papers, we used the standard simplices $Δ^{p}$ $(p \geq 0)$ endowed with diffeologies having several good properties to introduce the singular complex $S^\dcal(X)$ of a dif…

C∞-manifolds with skeletal diffeology

Smooth singular complexes and diffeological principal bundles

$C^{\infty}$ -manifolds with skeletal diffeology