Verification of Brunerie number computation #802
Merged
Conversation
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
mortberg
changed the title
|
Extremely nice! I can't believe that we've finally proved this by computation 🤯 |
|
The few changes I wanted to make can be found in #805 . So merging this now! |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
In #763 I made added a small computation to the
Experiments.Bruneriefile which I claimed to be a computation of the Brunerie number. In this PR, I have added a very similar computation toHomotopy.Group.Pi4S3.QuickProofand proved that what it computes indeed is the Brunerie number.For the computation to work, I needed to work with the base/surf definition of S², so I unfortunately had to add a bit of theory about this guy (e.g. inversion and its interaction with the suspension map S² → Ω(Susp S²)). I also had to add a lemma about surjective homs Z -> Z being isos.
I also moved
Brunerie.agdafromExperimentsintoHomotopy.Group.Pi4S3and created a properties file for S².