Universal infinite partial orders

by Johnston, John B.

Abstract (Summary)
NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. We consider infinite partial orders in which the order or comparability relations are transitive, non-reflexive, and nonsymmetric. Our purpose is to construct for each infinite cardinal [...] a so-called [...] partial order in which every partial order of cardinality [...] can be isomorphically embedded. Using the Axiom of Choice we easily construct an [...] partial order of cardinality [...], while for those infinite cardinals [...] for which [...], the General Continuum Hypothesis enables us to construct an [...]; universal partial order of cardinality [...].
Bibliographical Information:

Advisor:R.P. Dilworth

School:California Institute of Technology

School Location:USA - California

Source Type:Master's Thesis



Date of Publication:01/01/1955

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