A comparison of definitions of equivariant trees
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915836527116288 |
|---|---|
| author | Bergner, Julia E. Calle, Maxine E. Chan, David Osorno, Angélica M. Sarazola, Maru |
| author_facet | Bergner, Julia E. Calle, Maxine E. Chan, David Osorno, Angélica M. Sarazola, Maru |
| contents | We show that various categories of trees can be modeled by Grothendieck constructions on categories of trees with a fixed set of leaves. We prove this result for the dendroidal category $Ω$, the category $Ω^G$ of trees with a $G$-action for a finite group $G$, and finally for the category of genuine equivariant trees $Ω_G$ that has played an important role in recent work on genuine equivariant operads. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_14956 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A comparison of definitions of equivariant trees Bergner, Julia E. Calle, Maxine E. Chan, David Osorno, Angélica M. Sarazola, Maru Algebraic Topology Category Theory We show that various categories of trees can be modeled by Grothendieck constructions on categories of trees with a fixed set of leaves. We prove this result for the dendroidal category $Ω$, the category $Ω^G$ of trees with a $G$-action for a finite group $G$, and finally for the category of genuine equivariant trees $Ω_G$ that has played an important role in recent work on genuine equivariant operads. |
| title | A comparison of definitions of equivariant trees |
| topic | Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2512.14956 |