7 citations · 12 across the 4 of their papers we have counts for
4 papers
Cellular categories
M. Makkai, J. Rosický
We study locally presentable categories equipped with a cofibrantly generated weak factorization system. Our main result is that these categories are closed under 2-limits, in part…
On a fat small object argument
Michael Makkai, Jiří Rosický, Lukáš Vokřínek
Good colimits introduced by J. Lurie generalize transfinite composites and provide an important tool for understanding cofibrant generation in locally presentable categories. We wi…
A note on the Penon definition of -category
Eugenia Cheng, Michael Makkai
We show that doubly degenerate Penon tricategories give symmetric rather than braided monoidal categories. We prove that Penon tricategories cannot give all tricategories, but we s…
Computads and Multitopic Sets
Victor Harnik, Michael Makkai, Marek Zawadowski
We compare computads with multitopic sets. Both these kinds of structures have n-dimensional objects (called n-cells and n-pasting diagrams, respectively). The computads form a sub…