Jonathan Beardsley

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20242026

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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

Projective Geometries and Simple Pointed Matroids as $F_{1}$ -modules

Jonathan Beardsley, So Nakamura

We describe a fully faithful embedding of projective geometries, given in terms of closure operators, into $F_{1}$ -modules, in the sense of Connes and Consani. This factors…

Higher Groups and Higher Normality

Projective Geometries and Simple Pointed Matroids as F1​-modules

Projective Geometries and Simple Pointed Matroids as $F_{1}$ -modules