3 papers
math.AT2026
The Eilenberg-MacLane Spectrum of \mathbb{F}_1
Jonathan Beardsley
Given a very special -space , repeated application of Segal's delooping functor produces the constituent spaces of the associated connective -spectrum. In particular, by…
math.CT2025
Dynkin Systems and the One-Point Geometry
Jonathan Beardsley
In this note I demonstrate that the collection of Dynkin systems on finite sets assembles into a Connes-Consani -module, with the collection of partitions of finite s…
math.AT2024
Higher Groups and Higher Normality
Jonathan Beardsley, Landon Fox
In this paper we continue Prasma's homotopical group theory program by considering homotopy normal maps in arbitrary -topoi. We show that maps of group objects equipped wit…