I will discuss the extent to which a codimension two locally flat submanifold can be improved to a smooth submanifold, focusing on the case of embedded 4-manifolds. Joint work with Michelle Daher.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/12018