Types over C(K) spaces

• Autores: Markus Pomper
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 77, Nº 1, 2004, págs. 17-28
• Idioma: inglés
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• Resumen

  • 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.