On the Formalization of Higher Inductive Types and Synthetic Homotopy Theory
Algebraic Topology
2018-09-03 v1 Logic in Computer Science
Logic
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.
Keywords
Cite
@article{arxiv.1808.10690,
title = {On the Formalization of Higher Inductive Types and Synthetic Homotopy Theory},
author = {Floris van Doorn},
journal= {arXiv preprint arXiv:1808.10690},
year = {2018}
}
Comments
Dissertation, 146 pages