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[{"key": "dc.contributor.advisor", "value": "Kurittu, Lassi", "language": "", "element": "contributor", "qualifier": "advisor", "schema": "dc"}, {"key": "dc.contributor.author", "value": "Kausamo, Anna", "language": null, "element": "contributor", "qualifier": "author", "schema": "dc"}, {"key": "dc.date.accessioned", "value": "2015-07-19T16:50:57Z", "language": "", "element": "date", "qualifier": "accessioned", "schema": "dc"}, {"key": "dc.date.available", "value": "2015-07-19T16:50:57Z", "language": "", "element": "date", "qualifier": "available", "schema": "dc"}, {"key": "dc.date.issued", "value": "2014", "language": null, "element": "date", "qualifier": "issued", "schema": "dc"}, {"key": "dc.identifier.other", "value": "oai:jykdok.linneanet.fi:1477353", "language": null, "element": "identifier", "qualifier": "other", "schema": "dc"}, {"key": "dc.identifier.uri", "value": "https://jyx.jyu.fi/handle/123456789/46513", "language": "", "element": "identifier", "qualifier": "uri", "schema": "dc"}, {"key": "dc.description.abstract", "value": "Anna Kausamo, Yleistetyn kontinuumihypoteesin ja Alef-hypoteesin yht \u00e4pit avyys\r\nvalinta-aksiooman kautta (engl. The Equivalence of the Genereralized\r\nContinuum Hypothesis and the Alef-hypothesis through the Axiom of Choice),\r\nmatematiikan sivuainetutkielma, 91. s., Jyv \u00e4skyl \u00e4n yliopisto, Matematiikan\r\nja tilastotieteen laitos, syksy 2014.\r\nT \u00e4ss\u00e4 tutkielmassa todistetaan, ett\u00e4 yleistetty kontinuumihypoteesi ja Alef-\r\nhypoteesi ovat yht \u00e4pit avi \u00e4 joukko-opin Zermelon ja Fraenkelin mukaisessa\r\naksiomatisoinnissa. P \u00e4\u00e4ttely esitet \u00e4\u00e4n Rubinin ja Sierpinskin lauseiden todistusten\r\nkautta. N \u00e4ist \u00e4 ensimm \u00e4isen mukaan valinta-aksiooma seuraa Alef-\r\nhypoteesista, ja j \u00e4lkimm \u00e4isen perusteella yleistetty kontinuumihypoteesikin\r\nimplikoi valinta-aksiooman. L \u00e4htien kummasta tahansa hypoteesista saadaan\r\nsiis valinta-aksiooma k\u00e4ytt \u00f6\u00f6n, ja t \u00e4t \u00e4 kautta tutkielman p \u00e4\u00e4v \u00e4ite on suoraviivainen\r\ntodistettava.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Anna Kausamo (anmakaus) on 2015-07-19 16:50:56.589542. Form: Pro gradu -lomake (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/pro-gradu-lomake). JyX data: [jyx_publishing-allowed (fi) =True]", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted by jyx lomake-julkaisija (jyx-julkaisija.group@korppi.jyu.fi) on 2015-07-19T16:50:56Z\r\nNo. of bitstreams: 2\r\nURN:NBN:fi:jyu-201507192583.pdf: 468282 bytes, checksum: 57d0f9aa395801b7fe6c32a65986cf02 (MD5)\r\nlicense.html: 4844 bytes, checksum: 916dcc52882e73983156f5790d59728c (MD5)", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Made available in DSpace on 2015-07-19T16:50:57Z (GMT). No. of bitstreams: 2\r\nURN:NBN:fi:jyu-201507192583.pdf: 468282 bytes, checksum: 57d0f9aa395801b7fe6c32a65986cf02 (MD5)\r\nlicense.html: 4844 bytes, checksum: 916dcc52882e73983156f5790d59728c (MD5)\r\n Previous issue date: 2014", "language": "en", "element": "description", "qualifier": "provenance", "schema": "dc"}, {"key": "dc.format.extent", "value": "1 verkkoaineisto (89 sivua)", "language": null, "element": "format", "qualifier": "extent", "schema": "dc"}, {"key": "dc.format.mimetype", "value": "application/pdf", "language": null, "element": "format", "qualifier": "mimetype", "schema": "dc"}, {"key": "dc.language.iso", "value": "fin", "language": null, "element": "language", "qualifier": "iso", "schema": "dc"}, {"key": "dc.rights", "value": "In Copyright", "language": "en", "element": "rights", "qualifier": null, "schema": "dc"}, {"key": "dc.subject.other", "value": "Aksiomaattinen joukko-oppi", "language": null, "element": "subject", "qualifier": "other", "schema": "dc"}, {"key": "dc.title", "value": "Yleistetyn kontinuumihypoteesin ja Alef-hypoteesin yht\u00e4pit\u00e4vyys valinta-aksiooman kautta", "language": null, "element": "title", "qualifier": null, "schema": "dc"}, {"key": "dc.type", "value": "master thesis", "language": null, "element": "type", "qualifier": null, "schema": "dc"}, {"key": "dc.identifier.urn", "value": "URN:NBN:fi:jyu-201507192583", "language": null, "element": "identifier", "qualifier": "urn", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Pro gradu -tutkielma", "language": "fi", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.type.ontasot", "value": "Master\u2019s thesis", "language": "en", "element": "type", "qualifier": "ontasot", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Matemaattis-luonnontieteellinen tiedekunta", "language": "fi", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.faculty", "value": "Faculty of Sciences", "language": "en", "element": "contributor", "qualifier": "faculty", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Matematiikan ja tilastotieteen laitos", "language": "fi", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.department", "value": "Department of Mathematics and Statistics", "language": "en", "element": "contributor", "qualifier": "department", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "University of Jyv\u00e4skyl\u00e4", "language": "en", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.contributor.organization", "value": "Jyv\u00e4skyl\u00e4n yliopisto", "language": "fi", "element": "contributor", "qualifier": "organization", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Tilastotiede", "language": "fi", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.subject.discipline", "value": "Statistics", "language": "en", "element": "subject", "qualifier": "discipline", "schema": "dc"}, {"key": "dc.date.updated", "value": "2015-07-19T16:50:57Z", "language": "", "element": "date", "qualifier": "updated", "schema": "dc"}, {"key": "yvv.contractresearch.funding", "value": "0", "language": "", "element": "contractresearch", "qualifier": "funding", "schema": "yvv"}, {"key": "dc.type.coar", "value": "http://purl.org/coar/resource_type/c_bdcc", "language": null, "element": "type", "qualifier": "coar", "schema": "dc"}, {"key": "dc.rights.accesslevel", "value": "openAccess", "language": "fi", "element": "rights", "qualifier": "accesslevel", "schema": "dc"}, {"key": "dc.type.publication", "value": "masterThesis", "language": null, "element": "type", "qualifier": "publication", "schema": "dc"}, {"key": "dc.subject.oppiainekoodi", "value": "4043", "language": null, "element": "subject", "qualifier": "oppiainekoodi", "schema": "dc"}, {"key": "dc.subject.yso", "value": "joukko-oppi", "language": null, "element": "subject", "qualifier": "yso", "schema": "dc"}, {"key": "dc.format.content", "value": "fulltext", "language": null, "element": "format", "qualifier": "content", "schema": "dc"}, {"key": "dc.rights.url", "value": "https://rightsstatements.org/page/InC/1.0/", "language": null, "element": "rights", "qualifier": "url", "schema": "dc"}, {"key": "dc.type.okm", "value": "G2", "language": null, "element": "type", "qualifier": "okm", "schema": "dc"}]
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