Arrow categories of monoidal model categories

• David White ^[1] ; Donald Yau ^[2]
  1. [1] Denison University

     Denison University

     Township of Granville, Estados Unidos

     
  2. [2] The Ohio State University at Newark (USA)
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 125, Nº 2, 2019, págs. 185-198
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove that the arrow category of a monoidal model category, equipped with the pushout product monoidal structure and the projective model structure, is a monoidal model category. This answers a question posed by Mark Hovey, in the course of his work on Smith ideals. As a corollary, we prove that the projective model structure in cubical homotopy theory is a monoidal model structure. As illustrations we include numerous examples of non-cofibrantly generated monoidal model categories, including chain complexes, small categories, pro-categories, and topological spaces.