I figured that there is one real world application of topological ideas: getting your head around propaganda. Propaganda is something you don’t notice locally, only if you talk to people from far away/from a different upbringing, you can notice differences. And on the boundaries between one sort of people and the other sort of people there are always conflicts!
I’d like to express this idea more convincingly, and maybe take the parallel a little bit further, to the point of practical application. Maybe we can “detect” propaganda unambiguously, or make a protection algorithm against it.