Dear David,
Congratulations on your beautiful result; I'm looking forward to understanding the details. Recently I had been wondering if anyone had proved this, and I am delighted to see that it is now done.
Best wishes,
Jon
On 21 Apr 2023, at 12:04, David Wärn wrote:
> Dear all,
>
> I'm happy to announce a solution to one of the oldest open problems in synthetic homotopy theory: the free higher group on a set is a set.
>
> The proof proceeds by describing path types of pushouts as sequential colimits of pushouts, much like the James construction. This description should be useful also in many other applications. For example it gives a straightforward proof of Blakers-Massey.
>
> Best wishes,
> David
>
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