Geodesic
Cauchy Completion Categories
Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 78-84

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DOI

A general procedure is introduced for identifying categories of Cauchy spaces which have completions which possess a certain convergence property P, and for constructing completion functors on such categories. These results are applied to obtain a characterization of Cauchy spaces which allow T 3 completions, and to construct T 3 completions for categories of Cauchy groups and Cauchy lattices.
DOI : 10.4153/CMB-1989-011-9
Mots-clés : 54A20, 54E15, 28A35, Cauchy space, Cauchy group, Cauchy lattice, completion functor, Cauchy category 
Kent, D. C.; Richardson, G. D. Cauchy Completion Categories. Canadian mathematical bulletin, Tome 32 (1989) no. 1, pp. 78-84. doi: 10.4153/CMB-1989-011-9
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     title = {Cauchy {Completion} {Categories}},
     journal = {Canadian mathematical bulletin},
     pages = {78--84},
     year = {1989},
     volume = {32},
     number = {1},
     doi = {10.4153/CMB-1989-011-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-011-9/}
}
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