Multicategories model all connective spectra

IF 0.8 4区数学 Q2 MATHEMATICS Homology Homotopy and Applications Pub Date : 2021-11-16 DOI:10.4310/HHA.2023.v25.n1.a8

Niles Johnson, Donald Yau

引用次数: 2

Abstract

There is a free construction from multicategories to permutative categories, left adjoint to the endomorphism multicategory construction. The main result shows that these functors induce an equivalence of homotopy theories. This result extends a similar result of Thomason, that permutative categories model all connective spectra.

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多类别为所有连接谱建模

有一个从多范畴到置换范畴的自由构造，左伴随自同态多范畴构造。主要结果表明，这些函子导出了同伦理论的等价性。这一结果推广了Thomason的一个类似结果，即置换范畴对所有连接谱的模型。

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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来源期刊

Homology Homotopy and Applications 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Homology, Homotopy and Applications is a refereed journal which publishes high-quality papers in the general area of homotopy theory and algebraic topology, as well as applications of the ideas and results in this area. This means applications in the broadest possible sense, i.e. applications to other parts of mathematics such as number theory and algebraic geometry, as well as to areas outside of mathematics, such as computer science, physics, and statistics. Homotopy theory is also intended to be interpreted broadly, including algebraic K-theory, model categories, homotopy theory of varieties, etc. We particularly encourage innovative papers which point the way toward new applications of the subject.

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