Do you know the reference for the following fact:

the number of extreme points of a compact convex subset of a locally compact space varies lower semicontinuously when we endow the space of compact sets with Hausdorff metric?

It is not very hard to prove it but I would prefer to cite it and I am pretty sure that it is already shown. I would be grateful for some hints where to find it...



Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct.