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math.CT2026
Cocompactness and Presentability
Thorger Geiß, Phil Pützstück, Maxime Ramzi
We give a short proof that -cocompact objects in a presentable category are subterminal. As our main result, we extend this to the setting of presentable -categories. A…
math.CT2026
Free rigid commutative algebras
Maxime Ramzi
We describe free rigid commutative algebras in -presentably symmetric monoidal -categories as oplax colimits over the -dimensional framed cobordism category. The…