2,324 reputation
1417
bio website ohio.edu/people/eisworth
location Ohio University
age 46
visits member for 2 years, 10 months
seen 10 hours ago
Just your run-of-the-mill math professor/dad/set-theorist...

Jun
1
answered The independence number
May
17
awarded  Custodian
May
17
reviewed Approve suggested edit on Equicontinuity and $L^2$ convergence imply uniform convergence
May
17
reviewed Approve suggested edit on Is it ever a good idea to use Keisler-Shelah to show elementary equivalence?
May
7
comment Preservation of ultrafilters by Sacks forcing
It might be interesting to see if every hlt-ultrafilter is RK-above a P-point. Andreas Blass may know the answer to such questions!
May
6
awarded  Nice Question
May
5
comment Namba forcing and semiproperness
The question of whether SCC implies Namba semiproperness seems interesting, though, and not unreasonable!
May
5
answered Preservation of ultrafilters by Sacks forcing
May
5
comment Namba forcing and semiproperness
Philip: I know he shows that the strong Chang conjecture is a consequence of Namba semimproperness in Theorem XII.2.5 of the book. Is SCC actually equivalent?
May
4
asked Namba forcing and semiproperness
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