A Caltech Library Service

Universal infinite partial orders

Johnston, John B. (1955) Universal infinite partial orders. Dissertation (Ph.D.), California Institute of Technology.


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 [...].

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Major Option:Mathematics
Thesis Committee:
  • Dilworth, R.P. (chair)
Defense Date:1 January 1955
Record Number:etd-01162004-140541
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:195
Deposited By: Imported from ETD-db
Deposited On:16 Jan 2004
Last Modified:25 Dec 2012 14:58

Thesis Files

PDF (Johnston_jb_1955.pdf)
See Usage Policy.


Repository Staff Only: item control page