Martin’s Axiom and embeddings of upper semi-lattices into the Turing degrees |
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| Authors: | Wang Wei |
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| Institution: | Department of Philosophy, Sun Yat-sen University, 135 Xingang Xi Road, Guangzhou 510275, PR China Institute of Logic and Cognition, Sun Yat-sen University, 135 Xingang Xi Road, Guangzhou 510275, PR China |
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| Abstract: | It is shown that every locally countable upper semi-lattice of cardinality the continuum can be embedded into the Turing degrees, assuming Martin’s Axiom. |
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| Keywords: | 03D28 03E50 |
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