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We construct and study projective and Reedy model category structures for bimodules and infinitesimal bimodules over topological operads. Both model structures produce the same homotopy categories. For the model categories… Click to show full abstract
We construct and study projective and Reedy model category structures for bimodules and infinitesimal bimodules over topological operads. Both model structures produce the same homotopy categories. For the model categories in question, we build explicit cofibrant and fibrant replacements. We show that these categories are right proper and under some conditions left proper. We also study the extension/restriction adjunctions.
Keywords:
infinitesimal bimodules;
category structures;
model category;
model;
projective reedy;
reedy model
Journal Title: Applied Categorical Structures
Year Published: 2022
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Journal Title: Applied Categorical Structures
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!