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
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.)) |
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| Degree Grantor: | California Institute of Technology |
| Division: | Physics, Mathematics and Astronomy |
| Major Option: | Mathematics |
| Thesis Availability: | Public (worldwide access) |
| Research Advisor(s): |
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| Thesis Committee: |
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| 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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