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Automatic continuity of operators in vector lattices

โœ Scribed by A. V. Koldunov


Book ID
105087638
Publisher
SP MAIK Nauka/Interperiodica
Year
1991
Tongue
English
Weight
401 KB
Volume
50
Category
Article
ISSN
0001-4346

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Automatic continuity of group operations
โœ S Solecki; S.M Srivastava ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 734 KB

We prove that if (G, .) is a group with a metric, separable, and Baire topology 7such that h + g. h is continuous for all g E G and g -+ g. h is Baire measurable for all h E G, then (G, 7) is a topological group. Several consequences of this result concerning free actions of standard Bore1 groups ar