J. Aust. Math. Soc.  77 (2004), 17-28
Types over spaces

 Markus Pomper   Indiana University East   Richmond, IN   USA  mpomper@indiana.edu

Abstract
Let be a compact Hausdorff space and the Banach space of all real-valued continuous functions on , with the sup norm. Types over (in the sense of Krivine and Maurey) are represented here by pairs of bounded real-valued functions on , where is lower semicontinuous and is upper semicontinuous, and for every isolated point of . For each pair the corresponding type is defined by the equation for all , where is the sup norm on bounded functions. The correspondence between types and pairs is bijective.
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