1 code implementation • 12 Feb 2018 • Ulrik Buchholtz, Floris van Doorn, Egbert Rijke
We present a development of the theory of higher groups, including infinity groups and connective spectra, in homotopy type theory.
Logic in Computer Science Algebraic Topology Logic 03B15 F.4.1
no code implementations • 6 Feb 2018 • Ulrik Buchholtz, Kuen-Bang Hou
We present a development of cellular cohomology in homotopy type theory.
Logic in Computer Science Algebraic Topology 55U35, 03B15, 03B70
no code implementations • 22 Apr 2017 • Floris van Doorn, Jakob von Raumer, Ulrik Buchholtz
We discuss the homotopy type theory library in the Lean proof assistant.
Logic in Computer Science Logic 03B70, 03B15, 55U35
1 code implementation • 19 Apr 2017 • Ulrik Buchholtz, Egbert Rijke
In the inductive step, we take RP(n+1) to be the mapping cone of the projection map of the tautological bundle of RP(n), and we use its universal property and the univalence axiom to define the tautological bundle on RP(n+1).
Algebraic Topology 03B15, 55P20, 55U35
no code implementations • 4 Oct 2016 • Ulrik Buchholtz, Egbert Rijke
We define in the setting of homotopy type theory an H-space structure on $\mathbb S^3$.
Algebraic Topology Logic in Computer Science Category Theory Logic 03B15, 17A35, 55P45, 55U35
