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bio website ohio.edu/people/eisworth
location Ohio University
age 46
visits member for 2 years, 6 months
seen 21 hours ago
Just your run-of-the-mill math professor/dad/set-theorist...

Apr
4
comment regularity of ultrafilters
In the Kanamori-Magidor "Evolution of Large Cardinal Axioms" paper, the question is mentioned as still open.
Apr
4
comment regularity of ultrafilters
Thanks, Andreas! I'll fill in the references as I find them!
Apr
4
answered regularity of ultrafilters
Apr
2
awarded  Custodian
Apr
2
reviewed No Action Needed Does there exists a finitely presented group with Dehn function > n^3 and all asymptotic cones simply connected
Mar
29
answered On the definition of $\alpha$-proper poset
Mar
11
comment Consistency Results Separating Three Cardinal Characteristics Simultaneously
Martin: How close is what you are doing to the "$\aleph_\epsilon$-support from [Sh:538]?
Mar
3
comment Forcing Notions with Unknown Real/Cardinal Preserving Situations
These notions of forcing aren't going to be of much use for Foreman Maximality as they tend to need instances of GCH to be definable.
Mar
3
comment Forcing Notions with Unknown Real/Cardinal Preserving Situations
We get a similar situation for your second question when we look at the problem of "properness for larger cardinals". There, we are trying to iterated forcings that are countably closed, and asking if they preserve cardinals. Roslanowski and Shelah have done a lot of work, but this area of set theory still consists mostly of open problems.
Mar
3
answered Forcing Notions with Unknown Real/Cardinal Preserving Situations
Feb
26
answered Can the structure of an ultrafilter determine the structure of its ultrapower?
Jan
23
awarded  set-theory
Jan
22
answered Shelah's proof that proper forcing preserves P-points
Oct
21
comment Recent application of model theory in set theory by Shelah-Malliaris
Juris Steprans circulated some notes on this last year at the Fields Institute. These notes were helpful in that they emphasized the set-theoretic content of the proof and pushed the model theory to the background. Perhaps you can contact him?
Sep
28
awarded  Yearling
Sep
6
comment What does ! above = mean
Honestly, this is exactly what I thought when this question bubbled up to the front page!
Sep
1
revised Some variants of the Shelah's Weak Hypothesis
deleted 2 characters in body
Sep
1
revised Some variants of the Shelah's Weak Hypothesis
removed a claim i wasnt happy with
Sep
1
revised Some variants of the Shelah's Weak Hypothesis
added 237 characters in body
Sep
1
answered Some variants of the Shelah's Weak Hypothesis