Beck monadicity theorem 1category equivalence 1equivariant homotopy theory 1homotopical monadicity 1infinite loop space machines 1iterated loop spaces 1mackey functors 1operads 1orbital presheaves 1realization functors 1simplicial spaces 1
From the 3 of 3 linked papers with an AI index.
3 papers
math.AT2026
Group completions and the homotopical monadicity theorem
Hana Jia Kong, J. Peter May, Foling Zou
This paper is divided into three parts. In the first part, we give the general abstract axiomatic theory and treat the classical examples of infinite loop space machines with struc…
math.AT2026
Orbital presheaves in equivariant infinite loop space theory
Hana Jia Kong, J. Peter May, Foling Zou
The paper develops an operadic infinite loop space machine that builds genuine G‑spectra from orbital presheaves, providing a new operadic view of Mackey functors and defining asso…
math.AT2026
The homotopical monadicity theorem
Hana Jia Kong, J. Peter May, Foling Zou
The paper proves a homotopical version of Beck’s monadicity theorem, providing axioms that ensure an adjunction is monadic in homotopy theory even when the classical theorem fails,…