๐”– Bobbio Scriptorium
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Brouwer and Souslin on Transfinite Cardinals

โœ Scribed by John P. Burgess


Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
366 KB
Volume
26
Category
Article
ISSN
0044-3050

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ON COMPACT CARDINALS by J. L. BELL in London (Great Britain) Let x be a cardinal and L a language. x is said to be L-compact if whenever ,Z is a set of sentences of L such that any subset of L' of power < x has a model, so does Z. If 9 is a class of languages, we say that x is 9-compact if x is L-co

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## Abstract In [1] it was shown that if __ฮบ__ is a strong partition cardinal, then every function from [__ฮบ__ ]^__ฮบ__^ to [__ฮบ__ ]^__ฮบ__^ is continuous almost everywhere. In this investigation, we explore whether such functions are differentiable or integrable in any sense. Some of them are. (ยฉ 2