作为CAT上伪单子的余松散代数的超范畴
范畴论
2025-08-26 v3
摘要
我们证明了一个受Shulman猜想启发而提出的结果，该结果声称由Lurie定义的超范畴是范畴范畴CAT上某个伪单子的正规余松散代数。该定义使我们能够将由Lurie定义的左、右超函子视为松散/余松散代数态射的实例。
引用
@article{arxiv.2502.20597,
title = {Ultracategories as colax algebras for a pseudo-monad on CAT},
author = {Ali Hamad},
journal= {arXiv preprint arXiv:2502.20597},
year = {2025}
}
备注
Version 3. Fixed typos, Fixed many instances where mathematical notation was inconsistent, clarified some proofs