Geodesic
Ladders and completion of triangulated categories
Theory and applications of categories, Tome 37 (2021), pp. 95-106 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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.

Classification : Primary: 18A35, 18G80
Keywords: triangulated category with a good metric, recollement, ladder, completion of a category 
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     author = {Yongliang Sun and Yaohua Zhang},
     title = {Ladders and completion of triangulated categories},
     journal = {Theory and applications of categories},
     pages = {95--106},
     year = {2021},
     volume = {37},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2021_37_a3/}
}
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Yongliang Sun; Yaohua Zhang. Ladders and completion of triangulated categories. Theory and applications of categories, Tome 37 (2021), pp. 95-106. http://geodesic.mathdoc.fr/item/TAC_2021_37_a3/