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Ladders and completion of triangulated categories

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Yongliang Sun and Yaohua Zhang

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.

Published 2021-02-02.

http://www.tac.mta.ca/tac/volumes/37/4/37-04.pdf

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