Jonathan Beardsley

most citedProjective Geometries as

F_{1}

-modules

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.AT2025

The Eilenberg-MacLane Spectrum of \mathbb{F}_1

Jonathan Beardsley

Given a very special $Γ$ -space $X$ , repeated application of Segal's delooping functor produces the constituent spaces of the associated connective $Ω$ -spectrum. In particular, by a…

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 $F_{1}$ -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 $\infty$ -topoi. We show that maps of group objects equipped wit…

math.CT2024★ 1 cited

Projective Geometries as $F_{1}$ -modules

Jonathan Beardsley, So Nakamura

We describe a fully faithful embedding of the category of axiomatic projective geometries into $F_{1}$ -modules, in the sense of Connes and Consani. In particular, the collin…

The Eilenberg-MacLane Spectrum of \mathbb{F}_1

Dynkin Systems and the One-Point Geometry

Higher Groups and Higher Normality

Projective Geometries as F1​-modules

Projective Geometries as $F_{1}$ -modules