Smith Ideals of Operadic Algebras in Monoidal Model Categories

15 Mar 2017 White David Yau Donald

Building upon Hovey's work on Smith ideals for monoids, we develop a homotopy theory of Smith ideals for general operads in a symmetric monoidal category. For a sufficiently nice stable monoidal model category and an operad satisfying a cofibrancy condition, we show that there is a Quillen equivalence between a model structure on Smith ideals and a model structure on algebra maps induced by the cokernel and the kernel... (read more)

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Categories


  • ALGEBRAIC TOPOLOGY
  • ALGEBRAIC GEOMETRY
  • CATEGORY THEORY
  • K-THEORY AND HOMOLOGY