There may be simple P[aleph]1 and P[aleph]2-points and the Rudin-Keisler ordering may be downward directed
dc.contributor.author | Blass, Andreas | en_US |
dc.contributor.author | Shelah, Saharon | en_US |
dc.date.accessioned | 2006-04-07T20:01:06Z | |
dc.date.available | 2006-04-07T20:01:06Z | |
dc.date.issued | 1987 | en_US |
dc.identifier.citation | Blass, Andreas, Shelah, Saharon (1987)."There may be simple P[aleph]1 and P[aleph]2-points and the Rudin-Keisler ordering may be downward directed." Annals of Pure and Applied Logic 33(): 213-243. <http://hdl.handle.net/2027.42/26916> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6TYB-49PT2XC-C/2/0b415e445903fe23ab379e810d3b129b | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/26916 | |
dc.description.abstract | We prove the consistency, relative to ZFC, of each of the following two (mutually contradictory) statements. (A) Every two non-principal ultrafilters on m have a common image via a finite-to-one function. (B) Simple P[aleph]1-points and simple P[aleph]2-points both exist. These results, proved by the second author, answer questions of the first author and P. Nyikos, who had obtained numerous consequences of (A) and (B), respectively. In the models we construct, the bounding number is [aleph]1, while the dominating number, the splitting number, and the cardinality of the continuum are [aleph]2. | en_US |
dc.format.extent | 2977495 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | There may be simple P[aleph]1 and P[aleph]2-points and the Rudin-Keisler ordering may be downward directed | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | University of Michigan, Ann Arbor, MI 48109, USA Institute of Mathematics, The Hebrew University, Jerusalem, Israel | en_US |
dc.contributor.affiliationum | University of Michigan, Ann Arbor, MI 48109, USA Institute of Mathematics, The Hebrew University, Jerusalem, Israel | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/26916/1/0000482.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0168-0072(87)90082-0 | en_US |
dc.identifier.source | Annals of Pure and Applied Logic | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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