若干类树枝状无性繁殖体的权利取消特性

arXiv - MATH - Category Theory Pub Date : 2024-07-15 DOI:arxiv-2407.18959

Miguel Barata

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引用次数: 0

摘要

我们将史蒂文森之前的一个结果推广到了树枝集合的范畴，从而在正态单项式类中得到了树枝内反函数的右取消性质。作为这个性质的一个应用，我们展示了如何从一个dendroidal $\infty$-operad $X$ 构造一个对称单环$\infty$-category$mathsf{Env}(X)^\otimes$，这个方法概括了彩色操作数的对称单环包络。

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The right cancellation property for certain classes of dendroidal anodynes

We generalize a previous result of Stevenson to the category of dendroidal sets, yielding the right cancellation property of dendroidal inner anodynes within the class of normal monomorphisms. As an application of this property, we show how to construct a symmetric monoidal $\infty$-category $\mathsf{Env}(X)^\otimes$ from a dendroidal $\infty$-operad $X$, in a way that generalizes the symmetric monoidal envelope of a coloured operad.

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arXiv - MATH - Category Theory

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