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Translation lattices

About this Title

R. S. Pierce

Publication: Memoirs of the American Mathematical Society
Publication Year: 1959; Number 32
ISBNs: 978-0-8218-1232-7 (print); 978-0-8218-9975-5 (online)
DOI: https://doi.org/10.1090/memo/0032
MathSciNet review: 0107613

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Homomorphisms of semi-lattices
  • 3. An imbedding theorem
  • 4. Translation semi-lattices
  • 5. The uniform topology
  • 6. The homomorphism theorem
  • 7. Divisible translation lattices
  • 8. Lattice functions
  • 9. The first representation theorem
  • 10. The uniqueness theorem
  • 11. Homomorphisms
  • 12. Representation by continuous functions
  • 13. The second uniqueness theorem
  • 14. Homomorphisms and function representations
  • 15. The representation of function lattices