论文标题

延长类型的严格稳定性

Strict stability of extension types

论文作者

Weinberger, Jonathan

论文摘要

我们表明,Riehl-Shulman在合成$(\ Infty,1)$ - 类别中发生的扩展类型可以在预期的语义中以某种方式解释,以便它们在替代下严格稳定。这里使用的分裂方法是由于2009年Voevodsky所致。后来由Lumsdaine(Warren)推广到本地宇宙的方法。

We show that the extension types occurring in Riehl--Shulman's work on synthetic $(\infty,1)$-categories can be interpreted in the intended semantics in a way so that they are strictly stable under substitution. The splitting method used here is due to Voevodsky in 2009. It was later generalized by Lumsdaine--Warren to the method of local universes.

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