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A general character theory for partially ordered sets and lattices

About this Title

Karl Heinrich Hofmann and Klaus Keimel

Publication: Memoirs of the American Mathematical Society
Publication Year: 1972; Number 122
ISBNs: 978-0-8218-1822-0 (print); 978-0-8218-9920-5 (online)
DOI: https://doi.org/10.1090/memo/0122
MathSciNet review: 0340129

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Table of Contents

Chapters

  • 0. Introduction and functorial background
  • 1. Adjoint functors between the categories of partially ordered sets and topological spaces
  • 2. The general adjunction theorem
  • 3. Partially ordered semigroups topological spaces
  • 4. Continuous characters and the duality of lattices and topological spaces
  • 5. Quasicompactness and quasi-Boolean duality
  • 6. Regular characters, minimal characters and compactifications
  • 7. Pseudocomplemented lattices, pseudocomplemented characters, maximal characters, projective covers