循环塞加尔空间

arXiv - MATH - Category Theory Pub Date : 2024-09-18 DOI:arxiv-2409.11945

Julia E. Bergner, Walker H. Stern

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引用次数: 0

摘要

在这篇调查文章中，我们回顾了一些关于循环范畴 $\Lambda$ 的概念方法，以及它作为交叉简单群的描述。然后，我们给出了循环集模型结构的新证明，研究了循环空间广义里迪结构的细节，并介绍了循环塞加尔空间和循环 2 塞加尔空间的模型结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Cyclic Segal Spaces

In this survey article, we review some conceptual approaches to the cyclic category $\Lambda$, as well as its description as a crossed simplicial group. We then give a new proof of the model structure on cyclic sets, work through the details of the generalized Reedy structure on cyclic spaces, and introduce model structures for cyclic Segal spaces and cyclic 2-Segal spaces.

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arXiv - MATH - Category Theory

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Cyclic Segal Spaces Unbiased multicategory theory Multivariate functorial difference A Fibrational Theory of First Order Differential Structures A local-global principle for parametrized $\infty$-categories