On the partition property of measures on Pℋλ

On the partition property of measures on Pℋλ

The partition property for measures on Pℋλ was formulated by analogy with a property which Rowbottom [1] proved was possessed by every normal measure on a measurable cardinal. This property has been studied in [2], [3], and [4]. This note summarizes [5] and [6], which contain results relating the pa...

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Bibliographic Details
Main Author: Donald H. Pelletier
Format: Article
Language:English
Published: Hindawi Limited 1982-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
supercompact cardinals
measures with the partition property
extendible measures.
Online Access:http://dx.doi.org/10.1155/S0161171282000763
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spelling doaj-cbc17d8c865940318f5f226baa7f3e452020-11-24T22:26:25ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015481782110.1155/S0161171282000763On the partition property of measures on PℋλDonald H. Pelletier0Department of Mathematics, York University, Downsview, Ontario, M3J IP3, CanadaThe partition property for measures on Pℋλ was formulated by analogy with a property which Rowbottom [1] proved was possessed by every normal measure on a measurable cardinal. This property has been studied in [2], [3], and [4]. This note summarizes [5] and [6], which contain results relating the partition property with the extendibility of the measure and with an auxiliary combinatorial property introduced by Menas in [4]. Detailed proofs will appear in [5] and [6].http://dx.doi.org/10.1155/S0161171282000763supercompact cardinalsmeasures with the partition propertyextendible measures.
collection DOAJ
language English
format Article
sources DOAJ
author Donald H. Pelletier
spellingShingle Donald H. Pelletier
On the partition property of measures on Pℋλ
International Journal of Mathematics and Mathematical Sciences
supercompact cardinals
measures with the partition property
extendible measures.
author_facet Donald H. Pelletier
author_sort Donald H. Pelletier
title On the partition property of measures on Pℋλ
title_short On the partition property of measures on Pℋλ
title_full On the partition property of measures on Pℋλ
title_fullStr On the partition property of measures on Pℋλ
title_full_unstemmed On the partition property of measures on Pℋλ
title_sort on the partition property of measures on pℋλ
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1982-01-01
description The partition property for measures on Pℋλ was formulated by analogy with a property which Rowbottom [1] proved was possessed by every normal measure on a measurable cardinal. This property has been studied in [2], [3], and [4]. This note summarizes [5] and [6], which contain results relating the partition property with the extendibility of the measure and with an auxiliary combinatorial property introduced by Menas in [4]. Detailed proofs will appear in [5] and [6].
topic supercompact cardinals
measures with the partition property
extendible measures.
url http://dx.doi.org/10.1155/S0161171282000763
work_keys_str_mv AT donaldhpelletier onthepartitionpropertyofmeasuresonphl
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