Bourbaki

Theorem 1 (Hahn and Mazurkiewicz)

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

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

Every metrizable, compact, nonempty, connected and locally connected topological space is homeomorphic to a quotient space of the segment [0,1][0,1].

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

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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.