منابع مشابه
p-TOPOLOGICAL CAUCHY COMPLETIONS
The duality between “regular” and “topological” as convergence space properties extends in a natural way to the more general properties “p-regular” and “p-topological.” Since earlier papers have investigated regular,p-regular, and topological Cauchy completions, we hereby initiate a study of p-topological Cauchy completions. A p-topological Cauchy space has a p-topological completion if and onl...
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This paper gives a further development of p-regular completion theory, including a study ofp-regular Reed completions, the role of diagonal axioms, and the relationship between p-regular and p-topological completions.
متن کاملCauchy Completions of Mv-algebras
An MV-convergence is a convergence on an MV-algebra which renders the operations continuous. We show that such convergences on a given MV-algebra A are exactly the restrictions of the bounded `-convergences on the abelian `-group in which A appears as the unit interval. Thus the theory of `-convergence and Cauchy structures transfers to MV-algebras. We outline the general theory, and then apply...
متن کاملExact Completions and Small Sheaves
We prove a general theorem which includes most notions of “exact completion” as special cases. The theorem is that “κ-ary exact categories” are a reflective sub-2-category of “κ-ary sites”, for any regular cardinal κ. A κ-ary exact category is an exact category with disjoint and universal κ-small coproducts, and a κ-ary site is a site whose covering sieves are generated by κ-small families and ...
متن کاملRelative Completions
We compute the completion of the groups SLn(Zt]) and SLn (Zt;t ?1 ]) relative to the obvious homomorphisms to SLn (Q); this is a generalization of the classical Malcev completion. We also make partial computations of the rational second cohomology of these groups.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1989
ISSN: 0022-4049
DOI: 10.1016/0022-4049(89)90019-4