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invariant measure |
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invariant measure [in′ver·ē·ənt ′mezh·ər]
(mathematics) A Borel measuremon a topological spaceXis invariant for a transformation group (G,X,π) if for all Borel setsAinXand all elementsginG, m(Ag) =m(A), whereAgis the set of elements equal to π(g,x) for somexinA. Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content. |
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