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Construction of the Circle in UniMath
[article]
2020
arXiv
pre-print
We show that the type Tℤ of 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.
arXiv:1910.01856v2
fatcat:uz7ncjbd7bb7lg3unxbkdywuxy