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    • January 16th, 2019, 10.30-12.30 (Anthropole-3077)

      L. Vuilleumier (Unil - Paris 7) "The Wadge order via admissible representations on the Borel subsets of the Scott domain is isomorphic to the Wadge order on the non-self-dual Borel subsets of the Baire space".

      Abstract.

      The Wadge order on a topological space is the quasi order on the subsets of the topological space induced by continuous functions. It is well behaved on the Borel subsets of the Baire space. A represented space is a topological space that can be coded by the elements of the Baire space. If this coding is continuous, then the quasi order on the preimages of the subsets of the space is interesting. We show that this quasi order on the Borel subsets of the Scott domain is isomorphic to the Wadge order on the non-self-dual Borel subsets of the Baire space.

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