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Matematicheskie Zametki, 2003, Volume 74, Issue 1, Pages 12–18
DOI: https://doi.org/10.4213/mzm241 (Mi mzm241) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Prebox Module Topologies

V. I. Arnautov, K. M. Filippov

Institute of Mathematics and Computer Science, Academy of Sciences of Moldova
Full-text PDF (209 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm241
Abstract: 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.
Received: 26.01.1999
Revised: 14.01.2002
English version:
Mathematical Notes, 2003, Volume 74, Issue 1, Pages 12–17
DOI: https://doi.org/10.1023/A:1025054729911
Bibliographic databases:
UDC: 512.556.5
Language: Russian
Citation: V. I. Arnautov, K. M. Filippov, “On Prebox Module Topologies”, Mat. Zametki, 74:1 (2003), 12–18; Math. Notes, 74:1 (2003), 12–17
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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