Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Suppose that $X,Y$ are compact metric spaces, and $g:X\rightarrow Y$ is a multivalued mapping that is both upper and lower hemicontinuous. Is there a single valued continuous selection of $g$? If it helps, $X$ and $Y$ are compact subsets of finite dimensional normed spaces, but $g(x)$ is not convex, in general.

share|improve this question
    
Since Michael's theorem does not apply, is there some other well known result in set-valued analysis that covers this situation? A reference would be greatly appreciated. –  Brian Lins Aug 7 '12 at 19:23

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.