Spectra of uniformity

Yair Hayut; Asaf Karagila

doi:10.14712/1213-7243.2019.008

Spectra of uniformity

Yair Hayut
, Asaf Karagila

Institut für Mathematik

Veröffentlichungen: Beitrag in Fachzeitschrift › Artikel › Peer Reviewed

Abstract

We study some limitations and possible occurrences of uniform ultrafilters on ordinals without the axiom of choice. We prove an Easton-like theorem about the possible spectrum of successors of regular cardinals which carry uniform ultrafilters; we also show that this spectrum is not necessarily closed.

Originalsprache	Englisch
Seiten (von - bis)	287-300
Seitenumfang	14
Fachzeitschrift	Commentationes Mathematicae Universitatis Carolinae
Jahrgang	60
Ausgabenummer	2
DOIs	https://doi.org/10.14712/1213-7243.2019.008
Publikationsstatus	Veröffentlicht - 2019

ÖFOS 2012

101013 Mathematische Logik

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10.14712/1213-7243.2019.008

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title = "Spectra of uniformity",

abstract = "We study some limitations and possible occurrences of uniform ultrafilters on ordinals without the axiom of choice. We prove an Easton-like theorem about the possible spectrum of successors of regular cardinals which carry uniform ultrafilters; we also show that this spectrum is not necessarily closed.",

keywords = "AXIOMS, measurable cardinal, strongly compact cardinal, MODEL, uniform ultra filter, axiom of choice, Uniform ultrafilter, Axiom of choice, Measurable cardinal, Strongly compact cardinal",

author = "Yair Hayut and Asaf Karagila",

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AU - Karagila, Asaf

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KW - AXIOMS

KW - measurable cardinal

KW - strongly compact cardinal

KW - MODEL

KW - uniform ultra filter

KW - axiom of choice

KW - Uniform ultrafilter

KW - Axiom of choice

KW - Measurable cardinal

KW - Strongly compact cardinal

UR - https://www.scopus.com/pages/publications/85069632471

U2 - 10.14712/1213-7243.2019.008

DO - 10.14712/1213-7243.2019.008

M3 - Article

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JO - Commentationes Mathematicae Universitatis Carolinae

JF - Commentationes Mathematicae Universitatis Carolinae

IS - 2

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Spectra of uniformity

Abstract

ÖFOS 2012

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