Topologies on a triangulated category
So Okada
TL;DR
This paper introduces a method to construct a topology on objects of a triangulated category equipped with a stability condition, providing a new geometric perspective on these algebraic structures.
Contribution
It presents a novel way to define a topology on triangulated categories with stability conditions, bridging algebraic and topological frameworks.
Findings
Established a topology on objects of triangulated categories with stability conditions
Connected stability conditions with topological structures
Provided a foundation for further geometric analysis of triangulated categories
Abstract
On objects of a triangulated category with a stability condition, we construct a topology.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra