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

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Publication:689767
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DOI10.1007/BF01236081zbMath0819.46001MaRDI QIDQ689767

Torben Maack Bisgaard

Publication date: 15 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

transfinite inductioncompletely regular topologytopologies on infinite-dimensional vector spacestopology of finitely open sets on a real vector spaceuncountable dimension


Mathematics Subject Classification ID

Pathological topological spaces (54G15) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)


Related Items (7)

Tracial algebras and an embedding theorem ⋮ Closures of quadratic modules ⋮ Upper bounds for continuous seminorms and special properties of bilinear maps ⋮ Positive polynomials and sequential closures of quadratic modules ⋮ Analyticity and naturality of the multi-variable functional calculus ⋮ Long colimits of topological groups. I. Continuous maps and homeomorphisms ⋮ On the real multidimensional rational $K$-moment problem



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