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arXiv 2102.07670math.ATcs.MS
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研究可交换性达凝聚同伦的计算机代数系统

A computer algebra system for the study of commutativity up-to-coherent homotopies

Anibal M. Medina-Mardones

摘要:

Python软件包ComCH是一个轻量级的专用计算机代数系统,它为众所周知的对象、满射和Barratt-Eccles运算提供了模型,参数化了在派生意义上可交换的代数的乘积结构。ComCH处理的这种代数的主要例子是空间的上链复形,它提供了在所有素数上Steenrod上同调运算的有效构造。

英文摘要:

The Python package ComCH is a lightweight specialized computer algebra system that provides models for well known objects, the surjection and Barratt-Eccles operads, parameterizing the product structure of algebras that are commutative in a derived sense. The primary examples of such algebras treated by ComCH are the cochain complexes of spaces, for which it provides effective constructions of Steenrod cohomology operations at all prime.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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