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Semicontinuous extension of a partial order

✍ Scribed by Jean-Yves Jaffray

Publisher: Elsevier Science
Year: 1975
Tongue: English
Weight: 664 KB
Volume: 2
Category: Article
ISSN: 0304-4068
DOI: 10.1016/0304-4068(75)90005-1

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Clearly the sum as well as the maximum of two real numbers can be presented as a semigroup operation. So the measure with values in a partially ordered semigroup is a common generalization of additive or subadditive and maxitive measures (see Section 4). The extension of such measures we realize by