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Categorical Theory of $(\infty,\omega)$-Categories

范畴论 2024-11-26 v2

作者: Félix Loubaton

在 arXiv 上查看 ↗ PDF ↗

摘要

本文致力于 $(\infty,\omega)$ -类别的理论发展。我们呈现了来自范畴论标准结果的推广，如松弛的 Grothendieck 构造、Yoneda 引理、松弛(余)极限和松弛 Kan 延拓等。

关键词

$(\infty,\omega)$-类别松弛 Grothendieck 构造 Yoneda 引理松弛极限松弛 Kan 延拓

引用

@article{arxiv.2406.05425,
  title  = {Categorical Theory of $(\infty,\omega)$-Categories},
  author = {Félix Loubaton},
  journal= {arXiv preprint arXiv:2406.05425},
  year   = {2024}
}

备注

239 pages, comments are welcome! This text is based on the author's thesis. arXiv admin note: substantial text overlap with arXiv:2307.11931