Homotopy Type Theory HomePage (Rev #55)

Welcome to the Homotopy Type Theory wiki! This wiki-site is for collaborative work on homotopy type theory. If you are new to these subjects, you may want to check out:

• The Homotopy Type Theory web site
• The Homotopy Type Theory book

As of 6 June 2022, the HoTT web is regarded as deprecated. All further HoTT-related editing should happen on the main nLab web, and anyone who feels like porting an entry or two from there to here would do a great service to the community. When porting entries over to the nLab, please make adjustments to the material so that it makes sense in the larger context of the nLab, instead of blindly copying the material over.

Some important pages on this wiki are:

• About this wiki
• Higher algebra
• higher observational type theory
• Large types in HoTT
• Rational homotopy theory
• Order theory
• Logic
• Analysis
• Number theory
• Topology
• Differential geometry
• a list of Libraries and Proof Assistants
• the Resources page
• the References page
• the Sandbox page
• articles that should be ported to the nLab?

Other important links:

• Events collects programs, slides, and other resources of homotopy type theory workshops, meetings, and other events.

Some forums:

• Homotopy Type Theory Google Group For current research.
• HoTT Cafe Google Group “A place where non-experts can discuss homotopy type theory and related topics. Experts are welcome to join in of course!”
• HoTT Zulip Chat “A friendly and relaxed place for online discussions about anything related to homotopy type theory. We discuss both formal and informal approaches, and we work with Coq, Agda, Cubical TT, and other systems.”
• nForum