On the extension of $D$-poset valued measures
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 3, pp. 385-394.

Voir la notice de l'article dans Czech Digital Mathematics Library

A variant of Alexandrov theorem is proved stating that a compact, subadditive $D$-poset valued mapping is continuous. Then the measure extension theorem is proved for MV-algebra valued measures.
Classification : 28B15, 28E10
Mots-clés : $D$-posets; extension of measures; observables in quantum mechanics 
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     author = {Rie\v{c}an, Beloslav},
     title = {On the extension of $D$-poset valued measures},
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     pages = {385--394},
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Riečan, Beloslav. On the extension of $D$-poset valued measures. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 3, pp. 385-394. https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_3_a0/