All model structures on the lattice N5 are classified and related via Bousfield localizations using transfer systems.
Hirschhorn,Model categories and their localizations, Mathematical Surveys and Monographs, vol
2 Pith papers cite this work. Polarity classification is still indexing.
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Diagrams of Eilenberg-MacLane spaces of any height are formal over Q, implying spectral sequence collapse at page 2 for any diagram over any small category.
citing papers explorer
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Bousfield Localizations on the Nonmodular Lattice $N_5$
All model structures on the lattice N5 are classified and related via Bousfield localizations using transfer systems.
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On formality of diagrams of Eilenberg-MacLane spaces
Diagrams of Eilenberg-MacLane spaces of any height are formal over Q, implying spectral sequence collapse at page 2 for any diagram over any small category.