关于与谱序列相关的滤过链复形的幺半范畴模型结构
Monoidal model structures on filtered chain complexes relating to spectral sequences
AI总结：
本文在滤过链复形的模型范畴上建立了以谱序列$r$-页拟同构为弱等价的幺半模型结构，给出了余纤维对象的部分分类，并推及滤过微分分次代数及其模范畴上的余纤维化生成模型结构。
摘要：
我们在由Cirici、Egas Santander、Livinet和Whitehouse构造的滤过链复形的模型范畴上建立了幺半模型结构，其弱等价是相关谱序列$r$-页上的拟同构。在此过程中，我们对涉及滤过有界性限制的模型结构的余纤维对象和余纤维化给出了部分分类。作为推论，借助Schwede和Shipley的结果，我们在滤过微分分次代数及其模范畴上获得了余纤维化生成的模型结构。
英文摘要：
We establish monoidal model structures on model categories of filtered chain complexes constructed by Cirici, Egas Santander, Livernet and Whitehouse whose weak equivalences are the quasi-isomorphisms on the $r$-page of the associated spectral sequences. In doing so we provide a partial classification of cofibrant objects and cofibrations of the model structures involving a boundedness restriction on the filtration. As a consequence we also obtain, by results of Schwede and Shipley, cofibrantly generated model structures on the categories of filtered differential graded algebras as well as their modules.
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。
