单值富范畴与富Rezk完备化
Univalent Enriched Categories and the Enriched Rezk Completion
AI总结：
本文研究单值富范畴，证明本质满且全忠实函子等价，并构造富范畴的Rezk完备化，进而用于构造单值富Kleisli范畴。
摘要：
富范畴是其态射集具有额外结构的范畴。这类范畴在高阶范畴、同伦论和编程语言语义学中扮演重要角色。本文研究单值富范畴。我们证明单值富范畴之间的所有本质满且全忠实函子都是等价，并证明每个富范畴都允许Rezk完备化。最后，我们利用富范畴的Rezk完备化构造单值富Kleisli范畴。
英文摘要：
Enriched categories are categories whose sets of morphisms are enriched with extra structure. Such categories play a prominent role in the study of higher categories, homotopy theory, and the semantics of programming languages. In this paper, we study univalent enriched categories. We prove that all essentially surjective and fully faithful functors between univalent enriched categories are equivalences, and we show that every enriched category admits a Rezk completion. Finally, we use the Rezk completion for enriched categories to construct univalent enriched Kleisli categories.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
