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On Products of C AUCHY Completions
Author(s) -
Kent D. C.,
de Eguino R. Ruiz
Publication year - 1992
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19921550105
Subject(s) - mathematics , product (mathematics) , natural (archaeology) , completion (oil and gas wells) , combinatorics , geometry , petroleum engineering , engineering , history , archaeology
We investigate conditions under which the completion of a product of C AUCHY spaces is equivalent to the product of the completions. Necessary and sufficient conditions are given for the W YLER completion to commute with products. The natural completion and natural ordered completion are shown to commute with finite products.