Realizing partial orderings by classes of co-simple sets
Jeffrey B. Remmel · Pacific Journal of Mathematics · 1978
We show that we can embed any countable partial ordering into a class of co-r.e.bi-dense subsets of the rationale, each subset of a fixed nonzero r.e.Turing degree, under an order induced by recursive similarity transformations.Also, we show that we can embed any countable partial ordering into the co-simple isols under either the order induced by addition of isols or the order induced by recursive injections.