English

Fully faithful functors and pushouts of $\infty$-categories

Category Theory 2025-03-07 v1 Algebraic Topology

Abstract

We study stability properties of fully faithful functors, and compute mapping anima in pushouts of \infty-categories along fully faithful functors. We provide applications of these calculations to pushouts along Dwyer functors and Reedy categories.

Keywords

Cite

@article{arxiv.2503.03916,
  title  = {Fully faithful functors and pushouts of $\infty$-categories},
  author = {Peter J. Haine and Maxime Ramzi and Jan Steinebrunner},
  journal= {arXiv preprint arXiv:2503.03916},
  year   = {2025}
}

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31 pages