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arXiv · 2303.02065

Beyond Initial Algebras and Final Coalgebras

Ezra Schoen·Jade Master·Clemens Kupke
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Abstract

We provide a construction of the fixed points of functors which may not be inital algebras or final coalgebras. For an endofunctor F, this fixed point construction may be expressed as a pair of adjoint functors between F-coalgebras and F-algebras. We prove a version of the limit colimit coincidence theorem for these generalized fixed points.

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Ezra Schoen, Jade Master, Clemens Kupke. 2023-03-03. Beyond Initial Algebras and Final Coalgebras. https://arxiv.org/abs/2303.02065

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