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The Cayley-Dickson Construction in Homotopy Type Theory
Published 4 Oct 2016 in math.AT, cs.LO, math.CT, and math.LO | (1610.01134v1)
Abstract: We define in the setting of homotopy type theory an H-space structure on $\mathbb S3$. Hence we obtain a description of the quaternionic Hopf fibration $\mathbb S3\hookrightarrow\mathbb S7\twoheadrightarrow\mathbb S4$, using only homotopy invariant tools.
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