Let a locally compact second countable Hausdorff Group $G$ acting continuously and transitively on a locally compact second countable Hausdorff topological space $X$ and let $y$ be an element in $X$ and let $H$ be the stabilizer of $y$ in $G$ and $G/H$ be regarded as a topological space with the quotient topology and let $f:G/H \to X$ by: $f(g*H)=g*y$ . I need to show that $f$ is open. Could someone can give me help to prove that $f$ is open?
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Welcome to MSE. Please edit and use MathJax to properly format math symbols. – Lee David Chung Lin Feb 12 '20 at 16:47
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Welcome to MSE ^_^ what have you tried? We can help you better once we better understand what you're struggling with – HallaSurvivor Feb 12 '20 at 16:56