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- W4387644920 abstract "We consider the lattice of all compatible topologies on an arbitrary finite-dimensional vector space over a non-discrete valued field whose completion is locally compact. We construct a canonical lattice isomorphism between this lattice and the lattice of all vector subspaces of the vector space whose coefficient field is extended to the complete valued field. Moreover, using this isomorphism, we characterize the continuity of linear maps between such vector spaces, and also characterize compatible topologies that are Hausdorff." @default.
- W4387644920 created "2023-10-15" @default.
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- W4387644920 date "2023-07-01" @default.
- W4387644920 modified "2023-10-15" @default.
- W4387644920 title "THE CANONICAL LATTICE ISOMORPHISM BETWEEN TOPOLOGIES COMPATIBLE WITH A VECTOR SPACE AND SUBSPACES" @default.
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- W4387644920 doi "https://doi.org/10.21099/tkbjm/20234701041" @default.
- W4387644920 hasPublicationYear "2023" @default.
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