On the spectrum of characters of ultrafilters

Shimon Garti; Menachem Magidor; Saharon Shelah

doi:https://doi.org/10.1215/00294527-2018-0006

On the spectrum of characters of ultrafilters

Shimon Garti, Menachem Magidor, Saharon Shelah

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

We show that the character spectrum Sp./ (for a singular cardinal of countable cofinality) may include any prescribed set of regular cardinals between and 2.

Original language	American English
Pages (from-to)	371-379
Number of pages	9
Journal	Notre Dame Journal of Formal Logic
Volume	59
Issue number	3
DOIs	https://doi.org/10.1215/00294527-2018-0006
State	Published - 2018

Keywords

Prikry forcing
Supercompactness
Ultrafilter number

All Science Journal Classification (ASJC) codes

Logic

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https://doi.org/10.1215/00294527-2018-0006

Cite this

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title = "On the spectrum of characters of ultrafilters",

abstract = "We show that the character spectrum Sp./ (for a singular cardinal of countable cofinality) may include any prescribed set of regular cardinals between and 2.",

keywords = "Prikry forcing, Supercompactness, Ultrafilter number",

author = "Shimon Garti and Menachem Magidor and Saharon Shelah",

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JO - Notre Dame Journal of Formal Logic

JF - Notre Dame Journal of Formal Logic

IS - 3

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On the spectrum of characters of ultrafilters

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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