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Proof of cantor’s continuum hypothesis | ||
Journal of Hyperstructures | ||
دوره 1، شماره 2، اسفند 2012، صفحه 16-23 اصل مقاله (290.47 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22098/jhs.2012.2544 | ||
نویسنده | ||
J. Kurdics* | ||
Department of Mathematics and Informatics, College of Ny´ıregyh´aza, Sostoi 31/b Ny´ıregyh´aza, Hungary | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Set؛ Cardinality؛ Continuum Hypothesis؛ Ordered Field | ||
آمار تعداد مشاهده مقاله: 39 تعداد دریافت فایل اصل مقاله: 32 |