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Generalized Cauchy Spaces
Author(s) -
Eklund Patrik,
Gähler Werner
Publication year - 1990
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.19901470123
Subject(s) - mathematics , cauchy sequence , cauchy distribution , cauchy's convergence test , cauchy problem , pure mathematics , functor , residue theorem , initial value problem , mathematical analysis , cauchy boundary condition , boundary value problem , free boundary problem
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.