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Jochen Wengenroth
Jochen Wengenroth
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Yet another answer: EVERY incomplete Hausdorff (locally convex) topological vector space is a counterexample! ThisIt is due to the late Susanne Dierolf who proved (Manuscripta Math., 17(1):73–77, 1975) that every topological vector space is a quotient of a complete one.

Yet another answer: EVERY incomplete Hausdorff (locally convex) topological vector space is a counterexample! This is due to the late Susanne Dierolf who proved (Manuscripta Math., 17(1):73–77, 1975) that every topological vector space is a quotient of a complete one.

Yet another answer: EVERY incomplete Hausdorff (locally convex) topological vector space is a counterexample! It is due to the late Susanne Dierolf who proved (Manuscripta Math., 17(1):73–77, 1975) that every topological vector space is a quotient of a complete one.

Source Link
Jochen Wengenroth
Jochen Wengenroth
  • 16.4k
  • 2
  • 42
  • 82

Yet another answer: EVERY incomplete Hausdorff (locally convex) topological vector space is a counterexample! This is due to the late Susanne Dierolf who proved (Manuscripta Math., 17(1):73–77, 1975) that every topological vector space is a quotient of a complete one.