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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1982-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000763 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560280752619520 |
|---|---|
| author | Donald H. Pelletier |
| author_facet | Donald H. Pelletier |
| author_sort | Donald H. Pelletier |
| collection | DOAJ |
| 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]. |
| format | Article |
| id | doaj-art-cbc17d8c865940318f5f226baa7f3e45 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-cbc17d8c865940318f5f226baa7f3e452025-02-03T01:28:06ZengWileyInternational 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. |
| 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. |
| title | 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_short | On the partition property of measures on Pℋλ |
| title_sort | on the partition property of measures on phλ |
| 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 |