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

Institute of Computer Sciences

Research output: Contribution to journal › Article › 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

Original language	English
Pages (from-to)	790
Number of pages	803
Journal	Journal of Symbolic Logic
Volume	83
Issue number	2
DOIs	https://doi.org/10.1017/jsl.2018.17
Publication status	Published - 2018

Keywords

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

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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",

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AU - Tanasie, Anda-Ramona

AU - Kellner, Jakob

AU - Tonti, Fabio Elio

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KW - Forcing

KW - Mathematical logic

KW - Boolean Ultrapowers

KW - Cichon's Diagram

KW - large continuum

KW - large cardinals

KW - set theory of the reals

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DO - 10.1017/jsl.2018.17

M3 - Article

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SP - 790

JO - Journal of Symbolic Logic

JF - Journal of Symbolic Logic

IS - 2

ER -

Compact cardinals and eight values in cichoń's diagram

Abstract

Keywords

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