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Note on the open
mapping theorem
Lawrence Gerald Brown |
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Vol. 38 (1971), No. 1, 25–28
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Abstract |
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The open mapping and closed graph theorems are usually stated in terms of metrizable topological groups which are complete in a one-sided uniformity. It would be desirable to use only the weaker hypothesis of completeness in the two-sided uniformity. Important results of this sort are already known, and it is our purpose to strengthen those results by removing the separability hypotheses. |
Mathematical Subject Classification 2000
Primary: 22A05
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Milestones
Received: 4 February 1970
Published: 1 July 1971
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Authors |
| Lawrence Gerald Brown | |
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