On monoidal functors between (braided) Gr-categories
Nguyen Tien Quang, Nguyen Thu Thuy, Pham Thi Cuc
TL;DR
This paper classifies (braided) categorical groups and their monoidal functors, providing precise theorems and applications that deepen understanding of their structure and relationships.
Contribution
It offers new classification theorems for (braided) categorical groups and their monoidal functors, advancing the theoretical framework in this area.
Findings
Classification theorems for (braided) categorical groups
Applications to monoidal functors between categorical groups
Enhanced understanding of the structure of (braided) Gr-categories
Abstract
In this paper, we state and prove precise theorems on the classification of the category of (braided) categorical groups and their (braided) monoidal functors, and some applications obtained from the basic studies on monoidal functors between categorical groups.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Intracranial Aneurysms: Treatment and Complications · Algebraic structures and combinatorial models