Surveys in Mathematics and Mathematical Sciences
Volume 3, Issue 1, Pages 1 - 43
(February 2013)
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CATEGORICAL STRUCTURES IN NON-COMMUTATIVE MEASURE THEORY
Pedro Morales and Francisco GarcÃa MazarÃo
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Abstract:
In this paper, we investigate effect algebras and base normed spaces from the categorical point of view. We prove that the category of effect algebras is complete and cocomplete as well as the category of base normed spaces is complete, and discuss the contravariant functor from the category of effect algebras to the category of base normed spaces. |
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