Proof of cantor’s continuum hypothesis
Publish place: Journal of Hyperstructures، Vol: 1، Issue: 2
Publish Year: 1391
نوع سند: مقاله ژورنالی
زبان: English
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JR_JHSMS-1-2_002
تاریخ نمایه سازی: 16 بهمن 1402
Abstract:
We shall attempt to prove Cantor’s General Continuum Hypothesis, a special case of which is known as the Continuum Hypothesis, namely that the cardinality of the power set of an infinite set is the consecutive cardinality. An ordered field of cardinality ℵSρ with interval topology of weight ℵSρ is constructed, where ℵSρ is an uncountable isolated cardinal.
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Authors
J. Kurdics
Department of Mathematics and Informatics, College of Ny´ıregyh´aza, Sostoi ۳۱/b Ny´ıregyh´aza, Hungary