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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
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