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1 - Topological Rings and Modules and Their Completions

Published online by Cambridge University Press:  30 November 2018

Radoslav Dimitric
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Summary

Linear topologies are of utmost importanceComplete objects and metrizable objects play a crucial role in characterizing slenderness.Different kinds of inversesystems, such as surjective, flabby, etc. are introduced here. Product topologies play a central role, as do Hausdorff and non-discrete topologies. Conditions ensuring that infinite sums are contained in an object are investigated.

Keywords

topological grouptopological moduletopological ringcompletionsmetrizabilityproduct topologiesexistence of non-discrete Hausdorff topology
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Slenderness , pp. 41 - 90
Publisher: Cambridge University Press
Print publication year: 2018

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