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PreprintCC BY 4.0arXiv

A Tale of Two Paths

Abstract

We provide a new presentation for a cylinder object inside of the category of co-globular ∞-groupoids. We prove that the cylinder construction that Lanari provides is isomorphic to the one we build in this paper.

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BibTeX
@misc{taylor2026tale,
  title = {{A Tale of Two Paths}},
  author = {Johnathon Taylor},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.20860},
  eprint = {2609.20860},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.20860},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A Tale of Two Paths
AU  - Johnathon Taylor
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2609.20860
UR  - https://arxiv.org/abs/2609.20860
AB  - We provide a new presentation for a cylinder object inside of the category of co-globular ∞-groupoids. We prove that the cylinder construction that Lanari provides is isomorphic to the one we build in this paper.
ER  -