Thorger Geiß

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math.CT2026

Cocompactness and Presentability

Thorger Geiß, Phil Pützstück, Maxime Ramzi

We give a short proof that $κ$ -cocompact objects in a presentable category are subterminal. As our main result, we extend this to the setting of presentable $\infty$ -categories. A…

math.CT2026

Factorization Systems on $\infty$ -Categories: Un/Straightening and Monadicity

Thorger Geiß

We prove two structural results about factorization systems on $\infty$ -categories. Firstly, we classify factorization systems on the total spaces of a class of fibrations of $\inf…

math.CT2026

On Cofiltered Limits of $\infty$ -Categories and Adjunctions

Thorger Geiß

We prove that, under mild assumptions, the limit of a cofiltered diagram of $\infty$ -categories is a reflective (resp. coreflective) localization of its oplax (resp. lax) limit. Th…

Cocompactness and Presentability

Factorization Systems on ∞-Categories: Un/Straightening and Monadicity

On Cofiltered Limits of ∞-Categories and Adjunctions

Factorization Systems on $\infty$ -Categories: Un/Straightening and Monadicity

On Cofiltered Limits of $\infty$ -Categories and Adjunctions