The equivalence of two discretenesses of triangulated categories

2018/11/09 by Lingling Yao, Dong Yang, Yao, Lingling +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.RT

paper · pdf · doi:10.48550/arxiv.1811.03798

17 pages

arxiv created 2018/11/09 · arxiv updated 2018/11/12

Abstract

Given an ST-triple (C,D,M) one can associate a co-t-structure on C and a t-structure on D. It is shown that the discreteness of C with respect to the co-t-structure is equivalent to the discreteness of D with respect to the t-structure. As a special case, the discreteness of D^b(mod A) in the sense of Vossieck is equivalent to the discreteness of K^b(proj A) in a dual sense, where A is a finite-dimensional algebra.

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