Changing cardinal characteristics without changing ω -sequences or cofinalities

Heike Mildenberger; Saharon Shelah

doi:10.1016/S0168-0072(00)00026-9

Changing cardinal characteristics without changing ω -sequences or cofinalities

Heike Mildenberger^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We show: There are pairs of universes V₁⊆V₂ and there is a notion of forcing P∈V₁ such that the change mentioned in the title occurs when going from V₁[G] to V₂[G] for a P-generic filter G over V₂. We use forcing iterations with partial memories. Moreover, we implement highly transitive automorphism groups into the forcing orders.

Original language	English
Pages (from-to)	207-261
Number of pages	55
Journal	Annals of Pure and Applied Logic
Volume	106
Issue number	1-3
DOIs	https://doi.org/10.1016/S0168-0072(00)00026-9
State	Published - 1 Dec 2000

Keywords

03E35
03E55
Cardinal characteristics
Forcing
Large cardinals

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10.1016/S0168-0072(00)00026-9

Cite this

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abstract = "We show: There are pairs of universes V1⊆V2 and there is a notion of forcing P∈V1 such that the change mentioned in the title occurs when going from V1[G] to V2[G] for a P-generic filter G over V2. We use forcing iterations with partial memories. Moreover, we implement highly transitive automorphism groups into the forcing orders.",

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AU - Shelah, Saharon

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AB - We show: There are pairs of universes V1⊆V2 and there is a notion of forcing P∈V1 such that the change mentioned in the title occurs when going from V1[G] to V2[G] for a P-generic filter G over V2. We use forcing iterations with partial memories. Moreover, we implement highly transitive automorphism groups into the forcing orders.

KW - 03E35

KW - 03E55

KW - Cardinal characteristics

KW - Forcing

KW - Large cardinals

UR - https://www.scopus.com/pages/publications/0042185338

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JO - Annals of Pure and Applied Logic

JF - Annals of Pure and Applied Logic

IS - 1-3

ER -

Changing cardinal characteristics without changing ω -sequences or cofinalities

Abstract

Keywords

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