Example 3

Tag 0BI7, permanent. Cite it as [Bourbaki, Tag 0BI7].

General Topology, chapter III, § 2. Subgroups, quotient groups, homomorphisms homogeneous spaces, product groups

Let $G$ be a topological group, $X$ a topological space. Then the mapping $(s, x) \to x$ of $G \times X$ into $X$ is an external law of composition on $X$ , and $G$ operates continuously on $X$ with respect to this law; $G$ is then said to operate trivially on $X$ .

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

Nothing.