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arXiv · 2412.20286

Revisiting Hugo Volger's paper Uber die Existenz der freien Algebren

Matias Menni·Walter Tholen
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Abstract

We give a modern account of Hugo Volger's 1967 paper which, motivated by the construction of free algebras for a Lawvere-Linton theory, gives a very constructive proof that the left Kan extension of a product-preserving Set-valued functor is product-preserving. We also analyze how it anticipates, and in part even exceeds, subsequent work of the 1970s.

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Matias Menni, Walter Tholen. 2024-12-28. Revisiting Hugo Volger's paper Uber die Existenz der freien Algebren. https://arxiv.org/abs/2412.20286

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