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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Logics with given centers and state spaces


Author: Pavel Pták
Journal: Proc. Amer. Math. Soc. 88 (1983), 106-109
MSC: Primary 06C15; Secondary 03G12, 81B10
DOI: https://doi.org/10.1090/S0002-9939-1983-0691287-9
MathSciNet review: 691287
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Abstract: Let $ B$ be a Boolean algebra and let $ K$ be a compact convex subset of a locally convex topological linear space. Then there exists a logic with the center Boolean isomorphic to $ B$ and with the state space affinely homeomorphic to $ K$.


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DOI: https://doi.org/10.1090/S0002-9939-1983-0691287-9
Article copyright: © Copyright 1983 American Mathematical Society