Bourbaki

Example 1

Tag 0B33, permanent. Cite it as [Bourbaki, Tag 0B33].

General Topology, chapter I, § 5. Open mappings and closed mappings

Let AA be a subspace of a topological space XX. Then the canonical injection j:A→Xj : A \to X is open (resp. closed) if and only if AA is open (resp. closed) in XX (§ 3, no. 1).

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

Cited by

Nothing.

Cites

Transcribed from the printed volume. Not translated.