Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Let $G$ be a polish group, $H$ be an open subgroup of $G$ and $X$ be any metric space on which $G$ act. I want to show the following fact:

If the restriction to $H $of the action of $G$ on $X$ is continuous, then the action of $G$ on $X$ is continuous.

Thank for any help

share|improve this question
    
This can be shown using the same trick as the one I used in the answer to your other question, i.e., testing sequential continuity, exploiting that $G/H$ is discrete. –  Martin Dec 29 '12 at 13:53

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.