Geodesic
On Prebox Module Topologies
Matematičeskie zametki, Tome 74 (2003) no. 1, pp. 12-18.

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Let $R$ be a complete topological division ring whose topology is determined by a real-valued valuation, and let $M$ be a vector space over $R$. It is proved that $M$ admits a Hausdorff module topology preceding the box topology in the lattice of all module topologies if and only if the dimension of the vector space $M$ over $R$ is a measurable cardinal. 
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V. I. Arnautov; K. M. Filippov. On Prebox Module Topologies. Matematičeskie zametki, Tome 74 (2003) no. 1, pp. 12-18. http://geodesic.mathdoc.fr/item/MZM_2003_74_1_a1/

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[2] Arnautov V. I., Filippov K. M., “O maksimalnykh tsepyakh v reshetke modulnykh topologii”, Sib. matem. zh., 42:3 (2001), 491–506 | MR | Zbl

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