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The topology of finitely open sets is not a vector space topology

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References

  1. C.Berg, J.P.R.Christensen, and P.Ressel, Harmonic Analysis on Semigroups. Berlin-Heidelberg-New York 1984.

  2. P.Harremoës, Private communication.

  3. E.Hille, Functional Analysis and Semi-groups. Amer. Math. Soc. Colloq. Publ.31. New York 1948.

  4. H. H.Schaefer, Topological Vector Spaces. Berlin-Heidelberg-New York 1971.

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Bisgaard, T.M. The topology of finitely open sets is not a vector space topology. Arch. Math 60, 546–552 (1993). https://doi.org/10.1007/BF01236081

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