Consider the following commutative diagram (semi-conjugacy): $$ X\;\; \stackrel{f}{\longrightarrow} \;\;X $$ $${\pi}\downarrow \;\;\;\;\;\; \;\;\;\;\downarrow {\pi}$$ $$Y\;\;\stackrel{g}{\longrightarrow}\;\; Y$$


(1) $X$ and $Y$ are real analytic manifolds.

(2) $f$ is a real analytic diffeomorphism.

(3) $\pi$ is a real analytic surjective map.

Question: Is $g$ real analytic? Additional conditions necessary?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.