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Award ID contains: 2246995

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  1. ; (, The Journal of Symbolic Logic)
    Abstract We investigate the notion of a semi-retraction between two first-order structures (in typically different signatures) that was introduced by the second author as a link between the Ramsey property and generalized indiscernible sequences. We look at semi-retractions through a new lens establishing transfers of the Ramsey property and finite Ramsey degrees under quite general conditions that are optimal as demonstrated by counterexamples. Finally, we compare semi-retractions to the category theoretic notion of a pre-adjunction. 
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  2. ; ; ; (, Annals of Pure and Applied Logic)
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