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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 2, Pages 305-310
doi:10.1155/S016117129500038X

On chains and posets within the power set of a continuum

P.T. Matthews and T.B.M. McMaster

Pure Mathematics Department, Queen's University, Belfast BT7 1NN, Ireland

Abstract

Transfinite induction is employed to construct a copy of an arbitrary partially-ordered set of cardinality at most c within the power set (quasi-ordered by sub-chain embeddability) of the real line.