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McCluskey, A. E.
; 
McMaster, T. B. M.
Identifiers
http://hdl.handle.net/10379/9506
 https://doi.org/10.13025/24613
Publication Date
1999-05-01
Keywords
partial order, quasi-order, ordering by embeddability
Type
Article
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Citation
McCluskey, A. E. McMaster, T. B. M. (1999). . Proceedings of the American Mathematical Society 127 (5), 1275-1279
Abstract
An elementary argument constructs, for each cardinal alpha, a topological space whose subspaces, ordered by homeomorphic embeddability, can model every partial order on alpha-many points. We show how to modify this procedure to deal also with quasi-orders (where the antisymmetry condition may fail), obtaining an initial estimate of the cardinality of the space then required.
Funder
Publisher
American Mathematical Society (AMS)
Publisher DOI
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (1)