Monoidal model structures on filtered chain complexes relating to spectral sequences
arxiv(2024)
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.
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