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Universal infinite partial orders

Citation

Johnston, John B. (1955) Universal infinite partial orders. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-01162004-140541

Abstract

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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
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Dilworth, Robert P.
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1955
Record Number:CaltechETD:etd-01162004-140541
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-01162004-140541
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:195
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:16 Jan 2004
Last Modified:26 Dec 2012 02:27

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