Bourbaki

Example 1

Tag 01WV, permanent. Cite it as [Bourbaki, Tag 01WV].

Topologie algébrique, chapter III, § 2. Homotopie et chemins

Every interval of R\mathbf{R}, every convex subset of a numerical space or, more generally, of a topological vector space over R\mathbf{R} is arcwise connected.

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

Nothing.

Machine translation of the English, by gpt-5-6-mini, gpt-5-mini, gpt-5-6, gpt-5.4, against glossary version 34. Not checked by a person. That model is a cut down version of the one the rest of this language was written by.