Left Kan extensions that are algebraic over colax-idempotent 2-monads

Seerp Roald Koudenburg

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arXiv · 1412.3760

Left Kan extensions that are algebraic over colax-idempotent 2-monads

Seerp Roald Koudenburg

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Abstract

Using the language of double categories we generalise a classical result on finite-product-preserving left Kan extensions, by Adámek and Rosický, to one on left Kan extensions that preserve algebraic structures defined by `suitable' colax-idempotent 2-monads, as well as obtain two related results. To be precise, by `suitable' 2-monads here we mean ones that extend to normal lax double monads. In an appendix we consider induced algebra structures on presheaf objects.

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BibTeX RIS

Seerp Roald Koudenburg. 2014-12-11. Left Kan extensions that are algebraic over colax-idempotent 2-monads. https://arxiv.org/abs/1412.3760

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