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arXiv · 2607.25460

Initial algebras from constructive ordinals

Benno van den Berg
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Abstract

We show how a standard constructive notion of ordinal supports a useful constructive theory of transfinite recursion. We do this by giving constructive proofs of various initial algebra theorems, like Adamek's theorem, and a version of Quillen's small object argument for constructing cofibrantly generated algebraic weak factorisation systems.

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Benno van den Berg. 2026-07-28. Initial algebras from constructive ordinals. https://arxiv.org/abs/2607.25460

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