Categorical Structures in Non-Commutative Measure Theory.

García Mazarío, Francisco and Morales, Pedro (2013). Categorical Structures in Non-Commutative Measure Theory.. "Surveys in Mathematics and Mathematical Sciences", v. 3 (n. 1); pp. 1-43. ISSN 2277-551X.

Description

Title: Categorical Structures in Non-Commutative Measure Theory.
Author/s:
  • García Mazarío, Francisco
  • Morales, Pedro
Item Type: Article
Título de Revista/Publicación: Surveys in Mathematics and Mathematical Sciences
Date: February 2013
ISSN: 2277-551X
Volume: 3
Subjects:
Freetext Keywords: Category theory, morphism, effect algebra, based normed space, noncommutative measure.
Faculty: E.U. de Informática (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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.

More information

Item ID: 33244
DC Identifier: http://oa.upm.es/33244/
OAI Identifier: oai:oa.upm.es:33244
Official URL: http://www.pphmj.com/journals/smms.htm
Deposited by: Memoria Investigacion
Deposited on: 12 Feb 2015 10:21
Last Modified: 12 Feb 2015 10:21
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