Proof of cantor’s continuum hypothesis
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 c...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2012-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2544_8cb876b597c862c9fa5961216486bb07.pdf |
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| _version_ | 1850100510222188544 |
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| author | J. Kurdics |
| author_facet | J. Kurdics |
| author_sort | J. Kurdics |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-39ba03e38fd8414c85ce46e500a4eeff |
| institution | DOAJ |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2012-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-39ba03e38fd8414c85ce46e500a4eeff2025-08-20T02:40:17ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662012-12-0112162310.22098/jhs.2012.25442544Proof of cantor’s continuum hypothesisJ. Kurdics0Department of Mathematics and Informatics, College of Ny´ıregyh´aza, Sostoi 31/b Ny´ıregyh´aza, HungaryWe 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.https://jhs.uma.ac.ir/article_2544_8cb876b597c862c9fa5961216486bb07.pdfsetcardinalitycontinuum hypothesisordered field |
| spellingShingle | J. Kurdics Proof of cantor’s continuum hypothesis Journal of Hyperstructures set cardinality continuum hypothesis ordered field |
| title | Proof of cantor’s continuum hypothesis |
| title_full | Proof of cantor’s continuum hypothesis |
| title_fullStr | Proof of cantor’s continuum hypothesis |
| title_full_unstemmed | Proof of cantor’s continuum hypothesis |
| title_short | Proof of cantor’s continuum hypothesis |
| title_sort | proof of cantor s continuum hypothesis |
| topic | set cardinality continuum hypothesis ordered field |
| url | https://jhs.uma.ac.ir/article_2544_8cb876b597c862c9fa5961216486bb07.pdf |
| work_keys_str_mv | AT jkurdics proofofcantorscontinuumhypothesis |