•  36
    On Schauder equivalence relations
    Mathematical Logic Quarterly 63 (6): 491-500. 2017.
    We study Schauder equivalence relations, which are Borel equivalence relations induced by actions of Banach spaces with Schauder bases. Firstly, we show that and are minimal Schauder equivalence relations. Then, we prove that neither of them is Borel reducible to the quotient where T is the Tsirelson space. This implies that they cannot form a basis for the Schauder equivalence relations. In addition, we apply an argument of Farah to show that every basis for the Schauder equivalence relations, …Read more
  •  45
    Developing and validating an instrument measuring school leadership
    with Jianping Shen, Xingyuan Gao, Louann Bierlien Palmer, Sue Poppink, Walter Burt, Robert Leneway, Dennis McCrumb, Charles Pearson, Mark Rainey, Patricia Reeves, and Gary Wegenke
    Educational Studies 45 (4): 402-421. 2018.
    In this study, we developed and validated an instrument that researchers can use to measure the collective effort of principals and teachers who excise their own unique leadership to genera...