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Partial Metrics, Valuations, and Domain Theory

✍ Scribed by S. J. O'NEILL


Book ID
111392355
Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
470 KB
Volume
806
Category
Article
ISSN
0890-6564

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It is shown that, over suitable valuation domains R with field of quotients Q, the cotorsion theory K generated by K = Q/R coincides with the cotorsion theory βˆ‚ cogenerated by the Fuchs' divisible module βˆ‚, provided that GΓΆdel's Axiom of Constructibility V = L is assumed. On the other hand, assuming