Piecewise Boolean Algebras and Their Domains

  • Chris Heunen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8573)


We characterise piecewise Boolean domains, that is, those domains that arise as Boolean subalgebras of a piecewise Boolean algebra. This leads to equivalent descriptions of the category of piecewise Boolean algebras: either as piecewise Boolean domains equipped with an orientation, or as full structure sheaves on piecewise Boolean domains.


Boolean Algebra Quantum Logic Orthomodular Lattice Forgetful Functor Compact Element 
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© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Chris Heunen
    • 1
  1. 1.Department of Computer ScienceUniversity of OxfordUnited Kingdom

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