Bourbaki

Example

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

General Topology, chapter I, § 1. Open sets, neighbourhoods, closed sets

\* We shall see in Chapter IV, § 1 that the set of rational numbers and its complement are dense on the real line. \* In a discrete space XX the only dense subset of XX is XX itself. On the other hand, every non-empty subset of XX is dense in the topology on XX for which the only open sets are ∅\varnothing and XX.

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.