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Filters
Nonregular ultrafilters on ω 2
2011
Journal of Symbolic Logic (JSL)
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We obtain lower bounds for the consistency strength of fully nonregular ultrafilters on ω 2. ...
We build on their argument to obtain lower consistency bounds for fully nonregular ultrafilters on ω 2 : Theorem 1. Suppose there is a fully nonregular ultrafilter U on ω 2 . ...
proved that if there is a nonregular ultrafilter on ω 1 , then 0 exists. ...
doi:10.2178/jsl/1309952522
fatcat:ikzqp5fqfffhjm2cqtal5drxfu
Singular Cardinals
[chapter]
2012
Handbook of the History of Logic
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Silver's own account of the discovery of his famous theorem is as follows: The immediate stimulus for this result was some work of Kanamori and Magidor 1 concerning nonregular ultrafilters on ω 1 . ...
the bound (ℵ ω1 ) ℵ1 < ℵ ω2 from Chang's conjecture. ...
doi:10.1016/b978-0-444-51621-3.50007-4
fatcat:fr3pdoy3nbdn5pc4pz52reng24
Problems from Topology Proceedings
[article]
2003
arXiv
pre-print
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The problems have been updated with current information on solutions with bibliographic references. ...
Are there weak P ω2 -points in U (ω 1 ), the space of uniform ultrafilters on ω 1 ? Solution. Yes. J. Baker and K. ...
Rudin) In ZFC, are there two free ultrafilters on ω with no common finite-to-one image? Under MA there are such ultrafilters.
S2. (van Douwen and Solution. ...
arXiv:math/0312456v1
fatcat:g5aorxz3z5btlbxoawere25mdy