نتایج جستجو برای: completeness

تعداد نتایج: 26378  

Journal: :Journal of Information Processing 2012

Journal: :Journal of Mathematical Physics 1995

Journal: :Journal of Logic and Computation 2000

Journal: :Archive for Mathematical Logic 2019

Journal: :Journal of Graph Theory 1987

Journal: :Journal of Approximation Theory 2016

Journal: :Nagoya Mathematical Journal 1998

We study different completeness definitions for two categories of lattice-valued Cauchy spaces and the relations between these definitions. We also show the equivalence of a so-called completion axiom and the existence of a completion.

Journal: :Archive of Formal Proofs 2014
Jasmin Christian Blanchette Andrei Popescu Dmitriy Traytel

Completeness Jasmin Christian Blanchette, Andrei Popescu, and Dmitriy Traytel

The Boolean ring $B$ of measurable subsets of the unit interval, modulo sets of measure zero, has proper radical ideals (for example, ${0})$ that are closed under the natural metric, but has no prime ideal closed under that metric; hence closed radical ideals are not, in general, intersections of closed prime ideals. Moreover, $B$ is known to be complete in its metric. Togethe...

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