Article | REF: AF94 V1

Ordered Set Theory

Author: Jean-Charles PINOLI

Publication date: August 10, 2019, Review date: May 7, 2021

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18.  A wide range of applications

The following are just a few examples of the wide range of applications.

18.1  Theory of ordered vector spaces

The theory of ordered vector spaces deals with vector spaces equipped with an order relation compatible with vector operations, such as Riesz lattices or Banach lattices. This theory plays an important role in functional analysis, particularly in the theory of positive operators.

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18.2  Approximate set theory

Rough set theory is a mathematical formalism proposed...

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