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The MV-Algebraic Loomis–Sikorski Theorem

  • D. Mundici
Chapter
Part of the Trends in Logic book series (TREN, volume 35)

Abstract

An MV-algebra A is said to be σ-complete if its underlying lattice is closed under countable suprema. It follows that A is semisimple, whence it is isomorphic to an MV-algebra A* of continuous [0,1]-valued functions defined on some compact Hausdorff space X.

Keywords

Boolean Algebra Compact Hausdorff Space Countable Sequence Nonempty Closed Subset Clopen Subset 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of Mathematics “Ulisse Dini”University of FlorenceFlorenceItaly

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