We provide a method to construct recollements and ladders of triangulated categories. For a ladder of height n >= 2 of triangulated categories with good metrics, if all the functors are compression functors, then there is a ladder of height n-1 of the corresponding completion categories. In particular, for a recollement (a ladder of height 1) of triangulated categories with good metrics, if all the functors are compression functors, then there is a half recollement of the corresponding completion categories.
Keywords: triangulated category with a good metric, recollement, ladder, completion of a category
2020 MSC: Primary: 18A35, 18G80
Theory and Applications of Categories, Vol. 37, 2021, No. 4, pp 95-106.
http://www.tac.mta.ca/tac/volumes/37/4/37-04.pdf
Revised 2021-05-26. Original version at
http://www.tac.mta.ca/tac/volumes/37/4/37-04a.pdf