Mechanism of a Dually Catalyzed Enantioselective Oxa-Pictet–Spengler Reaction and the Development of a Stereodivergent Variant
                        
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            In this paper we show that every set A⊂ℕ with positive density contains B+C for some pair B,C of infinite subsets of ℕ, settling a conjecture of Erd\H os. The proof features two different decompositions of an arbitrary bounded sequence into a structured component and a pseudo-random component. Our methods are quite general, allowing us to prove a version of this conjecture for countable amenable groups.more » « less
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