On exact functors for Heller triangulated categories
Matthias Kuenzer
TL;DR
This paper extends key constructions from Verdier triangulated categories, such as Karoubi hulls, adjoint exactness, and localization, to the broader framework of Heller triangulated categories.
Contribution
It demonstrates that fundamental operations in triangulated category theory are valid within Heller's framework, broadening their applicability.
Findings
Karoubi hull construction is valid in Heller triangulated categories
Exactness of adjoint functors is established in this setting
Localization techniques are applicable within Heller triangulated categories
Abstract
We show certain standard constructions of the theory of Verdier triangulated categories to be valid in the Heller triangulated framework as well; viz. Karoubi hull, exactness of adjoints, localisation.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology