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  1. Two-Cardinal Derived Topologies, Indescribability and Ramseyness.Brent Cody, Chris Lambie-Hanson & Jing Zhang - forthcoming - Journal of Symbolic Logic:1-29.
    We introduce a natural two-cardinal version of Bagaria’s sequence of derived topologies on ordinals. We prove that for our sequence of two-cardinal derived topologies, limit points of sets can be characterized in terms of a new iterated form of pairwise simultaneous reflection of certain kinds of stationary sets, the first few instances of which are often equivalent to notions related to strong stationarity, which has been studied previously in the context of strongly normal ideals. The non-discreteness of these two-cardinal derived (...)
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