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What is Understanding Locally Compact Groups about?

This document discusses locally compact groups and group actions on locally compact spaces. It provides examples of locally compact groups including Rn and GLn(R). It defines when a group G acts on a locally compact space X and gives examples. It states a theorem that if a group G acts on X via homeomorphisms αg that preserve a closed subset F, and the maps from G×F and G×(X\F) to X are continuous, then the full action map is continuous. An exercise is posed to find a simple proof of this theorem.

Author

123chess

Language

EN