2024/02/14 by Brotherston, James A.
#16W70 #18G40 #18M05 #18N40 #Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2402.09207
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.