Timeline for Metric space whose bounded subsets are totally bounded
Current License: CC BY-SA 4.0
3 events
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| Jan 6, 2023 at 8:15 | comment | added | Jochen Wengenroth | Horváth in his book Topological Vector Spaces and Distributions calls a locally convex space semi-Montel if every bounded set is relatively compact. This implies that closed bounded sets are complete and in the metrizable case completeness. For a locally convex Montel space one requires additionally barreledness. In the metrizable case this is automatic by Baire's theorem. | |
| Jan 5, 2023 at 21:38 | comment | added | Anton Petrunin | Does it assume completeness? | |
| Jan 5, 2023 at 19:23 | history | answered | Jochen Wengenroth | CC BY-SA 4.0 |