July 23 - 25, 2025 HCM Workshop/Conference
Europe/Berlin timezone

Cauchy Completion of Categories

Jul 25, 2025, 11:30 AM
30m
Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

Endenicher Allee 60/1-016 - Lipschitzsaal

Mathezentrum

Endenicher Allee 60 53115 Bonn
90
Scheduled Talks

Speaker

Tessa Kammermeier (University of Hamburg)

Description

Cauchy completing a category is the construction of adding all absolute colimits to a given category, where absolute colimits are those colimits which are preserved by any and all functors. This being a very restrictive definition, absolute colimits form a comparatively small class of colimits which are realised by quite canonical and natural constructions. Which constructions correspond to absolute colimits varies by what extra structures a category has, namely its enrichment. In this talk, I will briefly go over the definition absolute colimits and give interesting examples of absolute colimits in different settings, including in the setting of 2-categories.

Author

Tessa Kammermeier (University of Hamburg)

Presentation materials

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