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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Hindawi Limited
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171282000763 |
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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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