Proposition 6
Tag 0BZC, permanent. Cite it as [Bourbaki, Tag 0BZC].
General Topology, chapter VII, § 2. Continuous homomorphisms of $\mathbf{R}^n$ and its quotient groups
The only isomorphisms of the topological group onto one of its subgroups are the identity mapping and the symmetry .
Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.
Cited by
- Exercise 21, § 6
- § 2. Continuous homomorphisms of $\mathbf{R}^n$ and its quotient groups
- Proposition 2, § 2
Cites
Nothing.