Non-homogeneity of quotients of Prikry forcings

Moti Gitik; Eyal Kaplan

doi:10.1007/s00153-019-00659-w

Non-homogeneity of quotients of Prikry forcings

Moti Gitik, Eyal Kaplan

Tel Aviv University

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

Abstract

We study non-homogeneity of quotients of Prikry and tree Prikry forcings with non-normal ultrafilters over some natural distributive forcing notions.

Original language	English
Pages (from-to)	649-710
Number of pages	62
Journal	Archive for Mathematical Logic
Volume	58
Issue number	5-6
DOIs	https://doi.org/10.1007/s00153-019-00659-w
State	Published - 1 Aug 2019

Keywords

Distributivity
Homogeneity
Prikry forcing
Quotient forcings

All Science Journal Classification (ASJC) codes

Philosophy
Logic

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10.1007/s00153-019-00659-w

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title = "Non-homogeneity of quotients of Prikry forcings",

abstract = "We study non-homogeneity of quotients of Prikry and tree Prikry forcings with non-normal ultrafilters over some natural distributive forcing notions.",

keywords = "Distributivity, Homogeneity, Prikry forcing, Quotient forcings",

author = "Moti Gitik and Eyal Kaplan",

note = "Publisher Copyright: {\textcopyright} 2019, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2019",

month = aug,

day = "1",

doi = "10.1007/s00153-019-00659-w",

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AB - We study non-homogeneity of quotients of Prikry and tree Prikry forcings with non-normal ultrafilters over some natural distributive forcing notions.

KW - Distributivity

KW - Homogeneity

KW - Prikry forcing

KW - Quotient forcings

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DO - 10.1007/s00153-019-00659-w

M3 - مقالة

SN - 0933-5846

VL - 58

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EP - 710

JO - Archive for Mathematical Logic

JF - Archive for Mathematical Logic

IS - 5-6

ER -

Non-homogeneity of quotients of Prikry forcings

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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