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Proper Group Action -- from Wolfram MathWorld

  • ️Weisstein, Eric W.
  • ️Sat Oct 25 2003

A group action of a topological group G on a topological space X is said to be a proper group action if the mapping

G×X->X×X(g,x)|->(gx,x)

is a proper map, i.e., inverses of compact sets are compact.

A proper action must have compact isotropy groups at all points of X.

See also

Group Action

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Cite this as:

Weisstein, Eric W. "Proper Group Action." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ProperGroupAction.html

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