Open Problems

This is a list of questions that I have not managed to solve yet, or that I think should be left to others.  If you have any solution, total or partial, please contact me at goubault (at) lsv.fr.

I am looking for brilliant students in the field.  Finding a solution to one of those problems may convince me that I should hire you!

I’ll update that list from time to time, adding new problems, removing solved problems, and so on. I am not offering any guarantee that this will change often!

  1. Ordinal heights of Noetherian spaces (difficulty: moderate; suitable for a good M2 or PhD student; posted 23 feb 2017)
  2. FAC spaces (difficulty: pretty hard; suitable for an excellent PhD student; posted 23 feb 2017; solved 30 oct 2017, not that hard after all)
  3. Topologies on spaces of Lipschitz Yoneda-continuous maps (difficulty: really tough; posted 23 feb 2017)
  4. Full abstraction for languages with demonic and probabilistic choice (difficulty: moderate; suitable for a good M2 or PhD student; posted 08 nov 2017)

Jean Goubault-Larrecqjgl-2011