Homotopy Type Theory desired articles > history (Rev #5)

This page collects desired articles in the style of a TODO list. Feel free to edit and add your own wishes.

More on encode-decode

This method is used fruitfully in HoTT however can be a bit difficult to understand for beginners. Add some more articles detailing its use and generalisations. Specifically the proof of $\pi_1(S^1)$ and van kampen.

Group theory

Write out results of Higher Groups in Homotopy Type Theory. In particular outline how it can be linked with Localization in Homotopy Type Theory. Then we can finally start talking about localised cohomology.

Directed posets, real numbers, directed colimits

Write out a definition of a poset, a directed poset, a net, and a Cauchy net, and give a definition of the real numbers in terms of Cauchy nets in a universe, which would inevitably in the next universe. Also give a definition of an inductive system in a precategory and a directed colimit of such an inductive system.