2 citations · 2 across the 4 of their papers we have counts for
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Categories of operators and actions of group operads
Jun Yoshida
We propose a new model for multicategories with symmetries with respect to Zhang's group operads. The fully faithful embedding of the category of group operads into that of crossed…
Group operads as crossed interval groups
Jun Yoshida
The goal of the paper is to establish and to investigate a fully faithful embedding of the category of group operads into that of crossed interval groups. For this, we introduce a…
Limits and colimits of crossed groups
Jun Yoshida
Although the notion of crossed groups was originally introduced only in the simplicial case, the definition makes sense in the other categories. For instance, Batanin and Markl stu…
A general method to construct cube-like categories and applications to homotopy theory
Jun Yoshida
In this paper, we introduce a method to construct new categories which look like "cubes", and discuss model structures on the presheaf categories over them. First, we introduce a n…