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On the Formalization of Higher Inductive Types and Synthetic Homotopy Theory
Published 31 Aug 2018 in math.AT, cs.LO, and math.LO | (1808.10690v1)
Abstract: The goal of this dissertation is to present synthetic homotopy theory in the setting of homotopy type theory. We will present various results in this framework, most notably the construction of the Atiyah-Hirzebruch and Serre spectral sequences for cohomology, which have been fully formalized in the Lean proof assistant.
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