Generalized Cauchy Spaces |
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Authors: | Patrik Eklund,Werner G hler |
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Affiliation: | Patrik Eklund,Werner Gähler |
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Abstract: | In this paper a unified theory of Cauchy spaces is presented including the classical cases of filter and sequence Cauchy spaces. To by-pass a lattice-theoretical barrier the notion of Urysohn modification of a functor is introduced. Employing this notion for many types of generalized Cauchy spaces a completion method is given. |
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