The Cayley-Dickson Construction in Homotopy Type Theory

Ulrik Buchholtz; Egbert Rijke

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arXiv · 1610.01134

The Cayley-Dickson Construction in Homotopy Type Theory

Ulrik Buchholtz·Egbert Rijke

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Abstract

We define in the setting of homotopy type theory an H-space structure on $\mathbb S^3$. Hence we obtain a description of the quaternionic Hopf fibration $\mathbb S^3\hookrightarrow\mathbb S^7\twoheadrightarrow\mathbb S^4$, using only homotopy invariant tools.

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BibTeX RIS

Ulrik Buchholtz, Egbert Rijke. 2016-10-04. The Cayley-Dickson Construction in Homotopy Type Theory. https://arxiv.org/abs/1610.01134

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