The Jónsson Class of Ordered Sets

  • W. Wistar Comfort
  • Stylianos Negrepontis
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 211)


This is the principal example of a Jónsson class. Arguments such as the back-and-forth induction of Cantor and Hausdorff occur here in their initial and prototypical form (Theorem 5.3). There is also a useful analogy between the simple arguments concerning the η α -property of ordered sets and the more technically detailed arguments involving the (H α ) and (R α ) properties of Boolean algebras studied in §6 below; in this sense the material of the present section is preparatory to § 6.


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Copyright information

© Springer-Verlag Berlin · Heidelberg 1974

Authors and Affiliations

  • W. Wistar Comfort
    • 1
  • Stylianos Negrepontis
    • 2
    • 3
  1. 1.Department of MathematicsWesleyan UniversityMiddletownUSA
  2. 2.Department of MathematicsAthens UniversityAthensGreece
  3. 3.Department of MathematicsMcGill UniversityMontréalCanada

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