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The ultrafilter number for singular cardinals

โœ Scribed by Garti, Shimon; Shelah, Saharon


Book ID
118794916
Publisher
Akadmiai Kiad
Year
2012
Tongue
English
Weight
440 KB
Volume
137
Category
Article
ISSN
1588-2632

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๐Ÿ“œ SIMILAR VOLUMES


The number of cofinal ultrafilters
โœ Eric K. van Douwen ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 250 KB
The Cardinal Numbers
๐Ÿ“‚ Article ๐Ÿ“… 1888 ๐Ÿ› Nature Publishing Group ๐ŸŒ English โš– 214 KB
More on powers of singular cardinals
โœ Saharon Shelah ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› The Hebrew University Magnes Press ๐ŸŒ English โš– 1006 KB
Two cardinal models for singular ฮผ
โœ Shimon Garti; Saharon Shelah ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 113 KB

## Abstract We deal here with colorings of the pair (__ฮผ__^+^, __ฮผ__), when __ฮผ__ is a strong limit and singular cardinal. We show that there exists a coloring __c__ with no refinement. It follows that the properties of colorings of (__ฮผ__^+^, __ฮผ__) when __ฮผ__ is singular differ in an essential wa