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Constructing ▫$\square_{\omega_1}$▫ by means of forcing with finite conditions : doctoral thesisDolinar, Gregor, 08.06.1971-Glavni rezultat disertacije je konstrukcija ▫$\square_{\omega_1}$▫ z uporabo preddoločanja, katerega pogoji so končne množice in ki ohranja kardinalna števila. Pri tem uporabimo Todorčevićevo metodo ... števnih elementarnih modelov kot stranskih pogojev, da dokažemo, da je preddoločanje primerno, iz česar sledi, da ohranja ▫$\omega_1$▫. Poleg tega pokažemo, da je preddoločanje ▫$\omega_2$▫-primerno, kar pomeni, da ohranja tudi ▫$\omega_2$▫. Poleg tega na podoben način konstruiramo tudi netrivialno inačico ▫$\square_{\omega}$▫.Type of material - dissertation ; adult, seriousPublication and manufacture - Ljubljana : [G. Dolinar], 2013Language - englishCOBISS.SI-ID - 16639321
Author
Dolinar, Gregor, 08.06.1971-
Other authors
Džamonja, Mirna |
Bauer, Andrej
Topics
Teorija množic |
Preddoločanje |
Disertacije |
teorija množic |
kvadratni princip |
primerno preddoločanje |
končni pogoji |
končni pogoji |
set theory |
square principle |
proper forcing |
finite conditions |
finite conditions
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Dolinar, Gregor, 08.06.1971- | 20757 |
Džamonja, Mirna | ![]() |
Bauer, Andrej | 15854 |
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