Combinatorics at אω

Dima Sinapova; Spencer Unger

doi:10.1016/j.apal.2013.12.001

Combinatorics at א_ω

Dima Sinapova^*, Spencer Unger

^*Corresponding author for this work

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

Abstract

We construct a model in which the singular cardinal hypothesis fails at א_ω. We use characterizations of genericity to show the existence of a projection between different Prikry type forcings.

Original language	English
Pages (from-to)	996-1007
Number of pages	12
Journal	Annals of Pure and Applied Logic
Volume	165
Issue number	4
DOIs	https://doi.org/10.1016/j.apal.2013.12.001
State	Published - Apr 2014
Externally published	Yes

Keywords

Prikry type forcing
Scales
Singular cardinal hypothesis
Supercompact cardinals

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10.1016/j.apal.2013.12.001

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title = "Combinatorics at אω",

abstract = "We construct a model in which the singular cardinal hypothesis fails at אω. We use characterizations of genericity to show the existence of a projection between different Prikry type forcings.",

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author = "Dima Sinapova and Spencer Unger",

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KW - Supercompact cardinals

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JO - Annals of Pure and Applied Logic

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Combinatorics at א_ω

Abstract

Keywords

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