TL;DR
This paper develops the theory of Mackey profunctors, extending Mackey functors to the setting of profinite groups, providing a new framework for their study.
Contribution
It introduces and formalizes Mackey profunctors, a novel extension of Mackey functors tailored for profinite groups.
Findings
Established the foundational theory of Mackey profunctors.
Connected Mackey profunctors to existing algebraic structures.
Provided potential applications in group representation theory.
Abstract
We develop the theory of Mackey profunctors, a version of Mackey functors for profinite groups.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Advanced Topology and Set Theory · Homotopy and Cohomology in Algebraic Topology