Martin's Axiom and embeddings of upper semi-lattices into the Turing degrees

It is shown that every locally countable upper semi-lattice of cardinality continuum can be embedded into the Turing degrees, assuming Martin's Axiom.

• Type: Journal
• Year: 2010
• Where: APAL
• Authors: Wang Wei
• Keywords: APAL 2010, Cardinality Continuum, Countable Upper Semi-lattice, Turing Degrees