TY - JOUR
AU - David White
AU - Donald Yau
PY - 2019/10/19
Y2 - 2020/04/01
TI - Arrow categories of monoidal model categories
JF - MATHEMATICA SCANDINAVICA
JA - MathScand
VL - 125
IS - 2
SE - Articles
DO - 10.7146/math.scand.a-114968
UR - https://www.mscand.dk/article/view/114968
AB - 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.
ER -