Polynomial and Analytic Functors and Monads, revisited
Stanis{\l}aw Szawiel, Marek Zawadowski
TL;DR
This paper develops a 2-categorical framework to unify and analyze polynomial and analytic functors and monads, providing a deeper theoretical understanding of their structures.
Contribution
It introduces an abstract 2-categorical setting that systematically studies polynomial and analytic functors and monads, offering new insights into their relationships.
Findings
Unified 2-categorical framework for polynomial and analytic functors
Enhanced understanding of monad structures in a 2-categorical context
Potential applications to categorical algebra and type theory
Abstract
We describe an abstract 2-categorical setting to study various notions of polynomial and analytic functors and monads.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models