Calculus on strong partition cardinals

Mathematical Logic Quarterly 52 (6):585-594 (2006)
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Abstract

In [1] it was shown that if κ is a strong partition cardinal, then every function from [κ ]κ to [κ ]κ is continuous almost everywhere. In this investigation, we explore whether such functions are differentiable or integrable in any sense. Some of them are

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10.1002/malq.200610016

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Strong partition properties for infinite cardinals.E. M. Kleinberg - 1970 - Journal of Symbolic Logic 35 (3):410-428.
Researches into the world of "x" [implies] "x".J. M. Henle - 1979 - Annals of Mathematical Logic 17 (1/2):151.

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