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Zenodo (CERN European Organization for Nuclear Research)
T-Structures as Classifying Objects for Exact Structures on Triangulated Categories
2025
This paper investigates the role of t-structures as classifying objects for exact structures on triangulated categories. We demonstrate that the heart of a t-structure, under suitable conditions, can be equipped with an exact structure that is uniquely determ…
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Computer Science

Study of computation

Computer science is the study of computation, information, and automation. Computer science spans theoretical disciplines (such as algorithms, theory of computation, and information theory) to applied disciplines (including the design and implementation of hardware and software).

Algorithms and data structures are central to computer science. The theory of computation concerns abstract models of computation and general classes of problems that can be solved using them. The fields of cryptography and computer security involve studying the means for secure communication and preventing security vulnerabilities. Computer graphics and computational geometry address the generation of images.

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Zenodo (CERN European Organization for Nuclear Research)
T-Structures as Classifying Objects for Exact Structures on Triangulated Categories
2025
This paper investigates the role of t-structures as classifying objects for exact structures on triangulated categories. We demonstrate that the heart of a t-structure, under suitable conditions, can be equipped with an exact structure that is uniquely determined by the t-structure. Furthermore, we explore the converse, examining when a given exact structure on a triangulated category can be realized as the heart of a t-structure. We introduce a novel framework for comparing different exact structures via t-struct…
Click Computer Science Vs:
Mathematics
Triangulation
Theoretical Computer Science
Data Structure
Algebraic Number
Artificial Intelligence