高拓扑下的希尔顿-米尔诺定理

IF 0.9 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-03-07 DOI:10.1112/blms.70041

Samuel Lavenir

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引用次数: 0

摘要

在本文中，我们证明了悬浮空间有限楔上的经典Hilton-Milnor定理在任意∞$\infty$ -拓扑下仍然有效。我们的结果依赖于詹姆斯分裂的一个版本，Devalapurkar和Haine博士证明了这一点。数学。26(2021),1423-1464]，只使用任何∞模型的基本结构$\infty$ -categories。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

The Hilton–Milnor theorem in higher topoi

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The Hilton–Milnor theorem in higher topoi

In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary $\infty$ -topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math. 26 (2021), 1423–1464] and uses only basic constructions native to any model of $\infty$ -categories.

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