Fibrant model structures on weakly idempotent complete additive categories are equivalent to fibrantly weak factorization systems, and the homotopy category is the additive quotient of bifibrant objects by trivial bifibrant objects.
Becker, Models for singularity categories, Adv
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RT 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Homotopy categories and fibrant model structures
Fibrant model structures on weakly idempotent complete additive categories are equivalent to fibrantly weak factorization systems, and the homotopy category is the additive quotient of bifibrant objects by trivial bifibrant objects.