Several adjoint constructions for biset functors via Mackey-functorial interpretation
Hiroyuki Nakaoka
TL;DR
This paper explores new adjoint constructions for biset functors by employing Mackey-functor theoretic interpretations, extending classical Burnside and Boltje's constructions.
Contribution
It introduces analogs of Jacobson's and Boltje's constructions for biset functors through Mackey-functor frameworks, providing novel theoretical tools.
Findings
Develops Mackey-functor based adjoint constructions
Extends classical Burnside and Boltje's constructions
Provides new insights into biset functor theory
Abstract
We consider analogs of Jacobson's -Burnside construction and Boltje's -construction for biset functors, using Mackey-functor theoretic interpretation of biset functors.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topology and Set Theory · Topological and Geometric Data Analysis