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On the existence of a finest equivalent linear topology |
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| Authors: | Alberto Tonolo |
| Institution: | Dipartimento di Matematica “Ulisse Dini” , Universitá degli studi di Firenze , Viale Morgagni 67/A, Firenze, 50100, Italy |
| Abstract: | A duality is introduced to prove the existance of a finest linear topology equivalent to a given one for linearly topologized modules. Various properties of this finest topology are obtained. |
| Keywords: | Linear topologies equivalant topologies Pontryagin duality Leptin topologies totally dense submodule |