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Calculus on strong partition cardinals
Author(s) -
Henle James M.
Publication year - 2006
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200610016
Subject(s) - mathematics , partition (number theory) , differentiable function , partition function (quantum field theory) , integrable system , calculus (dental) , pure mathematics , combinatorics , discrete mathematics , physics , medicine , dentistry , quantum mechanics
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. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)