Corpus ID: 203734723

Construction of the Circle in UniMath

@article{Bezem2019ConstructionOT,
title={Construction of the Circle in UniMath},
author={M. Bezem and Ulrik Buchholtz and D. Grayson},
journal={ArXiv},
year={2019},
volume={abs/1910.01856}
}
• Published 2019
• Mathematics, Computer Science
• ArXiv
• We show that the type $\mathrm{T}\mathbb{Z}$ of $\mathbb{Z}$-torsors has the dependent universal property of the circle, which characterizes it up to a unique homotopy equivalence. The construction uses Voevodsky's Univalence Axiom and propositional truncation, yielding a stand-alone construction of the circle not using higher inductive types.