Frobenius-Perron Theory of Endofunctors
Jianmin Chen, Zhibin Gao, Elizabeth Wicks, James Jian Zhang, Xiaohong, Zhang, Hong Zhu
TL;DR
This paper introduces the Frobenius-Perron dimension for endofunctors in k-linear categories, offering new tools for understanding their structure and applications in category theory.
Contribution
It defines the Frobenius-Perron dimension for endofunctors and explores its applications, advancing the theoretical framework in category theory.
Findings
Defined Frobenius-Perron dimension for endofunctors
Provided applications in category theory
Enhanced understanding of endofunctor structures
Abstract
We introduce the Frobenius-Perron dimension of an endofunctor of a k-linear category and provide some applications.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra