Corpus ID: 10758087

Algebraic model structures

@article{Riehl2009AlgebraicMS,
  title={Algebraic model structures},
  author={Emily Riehl},
  journal={arXiv: Category Theory},
  year={2009}
}
  • Emily Riehl
  • Published 2009
  • Mathematics
  • arXiv: Category Theory
  • We define a new notion of an algebraic model structure, in which the cofibrations and fibrations are retracts of coalgebras for comonads and algebras for monads, and prove "algebraic" analogs of classical results. Using a modified version of Quillen's small object argument, we show that every cofibrantly generated model structure in the usual sense underlies a cofibrantly generated algebraic model structure. We show how to pass a cofibrantly generated algebraic model structure across an… CONTINUE READING

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