Bourbaki

Corollary 1

Tag 079A, permanent. Cite it as [Bourbaki, Tag 079A].

Topological Vector Spaces, I, p. 13, § 2. Linear varieties in a topological vector space

In a Hausdorff topological vector space E, over a non-discrete valued division ring K, every vector subspace D of dimension 1 is isomorphic to KsK_s.

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

Cited by

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Cites

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Transcribed from the printed volume. Not translated.