Under CH the authors construct n-entangled linear orders that fail to be (n+1)-entangled, plus homeomorphic reals with differing entanglement, an entangled Pi1^1 set under V=L, and a 2-entangled non-separable order under diamond.
An introduction to inde- pendence proofs, Reprint of the 1980 original
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Some questions on entangled linear orders
Under CH the authors construct n-entangled linear orders that fail to be (n+1)-entangled, plus homeomorphic reals with differing entanglement, an entangled Pi1^1 set under V=L, and a 2-entangled non-separable order under diamond.