半连续$q$-tame持久化模块的结构

IF 0.8 4区数学 Q2 MATHEMATICS

Homology Homotopy and Applications Pub Date : 2020-08-21 DOI:10.4310/HHA.2022.v24.n1.a6

Maximilian Schmahl

引用次数: 4

摘要

利用Chazal、Crawley-Boevey和de Silva关于持久模根的结果，证明了每一个下半连续q-tame持久性模都可以分解为区间模的直接和，每一个上半连续q-tame持久性模都可以分解为区间模的乘积。

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Structure of semi-continuous $q$-tame persistence modules

Using a result by Chazal, Crawley-Boevey and de Silva concerning radicals of persistence modules, we show that every lower semi-continuous q-tame persistence module can be decomposed as a direct sum of interval modules and that every upper semi-continuous q-tame persistence module can be decomposed as a product of interval modules.

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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.