Compact cardinals and eight values in cichoń's diagram

Anda-Ramona Tanasie; Jakob Kellner; Fabio Elio Tonti

doi:10.1017/jsl.2018.17

Compact cardinals and eight values in cichoń's diagram

Anda-Ramona Tanasie, Jakob Kellner, Fabio Elio Tonti

Institut für Informatik

Publikation: Beitrag in Fachzeitschrift › Artikel › peer-review

Abstract

Assuming three strongly compact cardinals, we show two consistent orderings of eight different cardinal characteristics in Cichon's Diagram by means of forcing. This paper introduces Boolean Ultrapowers of a forcing poset and their applications to set theory for proving consistency results

Originalsprache	Englisch
Seiten (von - bis)	790
Seitenumfang	803
Fachzeitschrift	Journal of Symbolic Logic
Jahrgang	83
Ausgabenummer	2
DOIs	https://doi.org/10.1017/jsl.2018.17
Publikationsstatus	Veröffentlicht - 2018

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10.1017/jsl.2018.17

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title = "Compact cardinals and eight values in cicho{\'n}'s diagram",

abstract = "Assuming three strongly compact cardinals, we show two consistent orderings of eight different cardinal characteristics in Cichon's Diagram by means of forcing. This paper introduces Boolean Ultrapowers of a forcing poset and their applications to set theory for proving consistency results",

keywords = "Forcing, Mathematical logic, Boolean Ultrapowers, Cichon's Diagram, large continuum, large cardinals, set theory of the reals",

author = "Anda-Ramona Tanasie and Jakob Kellner and Tonti, {Fabio Elio}",

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AU - Tanasie, Anda-Ramona

AU - Kellner, Jakob

AU - Tonti, Fabio Elio

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AB - Assuming three strongly compact cardinals, we show two consistent orderings of eight different cardinal characteristics in Cichon's Diagram by means of forcing. This paper introduces Boolean Ultrapowers of a forcing poset and their applications to set theory for proving consistency results

KW - Forcing

KW - Mathematical logic

KW - Boolean Ultrapowers

KW - Cichon's Diagram

KW - large continuum

KW - large cardinals

KW - set theory of the reals

UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-85051053022&partnerID=MN8TOARS

U2 - 10.1017/jsl.2018.17

DO - 10.1017/jsl.2018.17

M3 - Article

SN - 0022-4812

VL - 83

SP - 790

JO - Journal of Symbolic Logic

JF - Journal of Symbolic Logic

IS - 2

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Compact cardinals and eight values in cichoń's diagram

Abstract

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