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Generalized Cauchy Spaces

✍ Scribed by Patrik Eklund; Werner Gähler

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
925 KB
Volume
147
Category
Article
ISSN
0025-584X

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✦ Synopsis

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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