On chains and posets within the power set of a continuum
P. T. Matthews1and T. B. M. McMaster1
Received06 May 1993
Revised27 Oct 1993
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.