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arXiv · 2101.04752

A note on a free group. The decomposition of a free group functor through the category of heaps

Bernard Rybołowicz
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Abstract

This note aims to introduce a left adjoint functor to the functor which assigns a heap to a group. The adjunction is monadic. It is explained how one can decompose a free group functor through the previously introduced adjoint and employ it to describe a slightly different construction of free groups.

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Bernard Rybołowicz. 2021-01-12. A note on a free group. The decomposition of a free group functor through the category of heaps. https://arxiv.org/abs/2101.04752

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