Proper actions and proper invariant metrics
نویسندگان
چکیده
We show that if a locally compact group G acts properly on a locally compact σ-compact space X, then there is a family of G-invariant proper continuous finite-valued pseudometrics which induces the topology of X. If X is, furthermore, metrizable, then G acts properly on X if and only if there exists a G-invariant proper compatible metric on X.
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ورودعنوان ژورنال:
- J. London Math. Society
دوره 83 شماره
صفحات -
تاریخ انتشار 2011