1 citations · 1 across the 3 of their papers we have counts for
4 papers
On loop spaces with marking
Ryo Horiuchi
An analogous construction of simplicial homotopy group for Kan complex can be applied to saturated complicial sets to give monoids. In this paper, we investigate how the constructi…
On a simplicial monoid whose underlying simplicial set is not a quasi-category
Ryo Horiuchi
It is well known that the underlying simplicial set of any simplicial group is a Kan complex. Roughly speaking, Kan complex is an infinite-dimensional analogue of groupoid, and the…
On complicial homotopy monoids
Ryo Horiuchi
For a Kan complex with a vertex, we have the notion of its simplicial homotopy groups. In this paper, for a weak complicial set in the sense of Verity with a vertex, we construct m…
Verschiebung maps among -groups of truncated polynomial algebras
Ryo Horiuchi
Let be a prime number, and let be a ring in which is nilpotent. In this paper, we consider the maps induced…