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arXiv · 2510.02277

How to invert well-pointed endofunctors

Matt Booth
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Abstract

In this short note we observe that Kelly's transfinite construction of free algebras yields a way to invert well-pointed endofunctors. In enriched settings, this recovers constructions of Keller, Seidel, and Chen-Wang. We also relate this procedure to localisation by spectra and to Heller's stabilisation.

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Matt Booth. 2025-10-02. How to invert well-pointed endofunctors. https://arxiv.org/abs/2510.02277

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