• Martin Aigner
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 234)


The starting point for all our considerations is the following: We are given two sets, usually denoted by N and R, and a mapping f: NR satisfying certain conditions. The triple (N, R, f) is called a morphism. Our program is to arrange mappings into classes, and then to count and order the resulting classes of mappings.


Boolean Algebra Permutation Group Congruence Relation Congruence Class Dominance Order 
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Copyright information

© Springer-Verlag New York Inc. 1979

Authors and Affiliations

  • Martin Aigner
    • 1
  1. 1.II. Institut für MathematikFreie Universität BerlinBerlin 33Federal Republic of Germany

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