bio | website | |
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location | Jerusalem, Israel | |
age | 28 | |
visits | member for | 5 years, 2 months |
seen | Jun 24 '13 at 21:03 | |
stats | profile views | 818 |
I'm a PhD student at the Hebrew University of Jerusalem.
My prime interest is in set theory. More specifically, my research is in forcing theory and its interactions with (higher) descriptive set theory.
I'm also interested in model theory, especially Shelah's non-structure theory, abstract model theory, AEC and set-theoretic aspects.
Sep 24 |
awarded | Autobiographer |
Mar 21 |
awarded | Yearling |
Oct 29 |
awarded | Popular Question |
May 24 |
asked | Amalgamation of two ccc algebras may collapse the continuum |
Jun 14 |
comment |
Blackbox Theorems
Another result of Shelah which may fit in this list is the Main Gap Theorem. |
May 16 |
comment |
How badly does compactness fail in $\mathcal{L}_{\omega_1\omega}$?
If you weaken your demands to just having the upward Lowenheim-Skolem property, then Morley proved that the Hanf number of $L_{\omega_1, \omega}$ is $\beth_{\omega_1}$. |
Jan 26 |
awarded | Yearling |
Nov 20 |
comment |
The purview or scope of set theory qua set theory
This is not exactly an answer, but I think that this text might be relevant to your question: shelah.logic.at/files/E16.pdf |
Oct 2 |
comment |
Why are some axioms preserved in generic extensions?
It's worth noting that the answer may depend on large cardinal assumptions. For example, by a result of Woodin, the existence of class many measurable Woodin cardinals implies that Sigma-2-1 formulas that are true in one forcing extension are true in all forcing extensions satisfying CH (see the paper of Illias Farah for further discussion). |
Aug 26 |
answered | The concept of Duality |
Jul 31 |
comment |
Dual covering theorem
Thanks, Andres. :) |
Jul 31 |
accepted | Dual covering theorem |
Jul 30 |
revised |
Dual covering theorem
added 70 characters in body |
Jul 30 |
asked | Dual covering theorem |
May 9 |
comment |
Most memorable titles
How can we talk about sweetness without mentioning Saccharinity? shelah.logic.at/files/859.pdf :) |
Jan 26 |
awarded | Yearling |
Nov 26 |
comment |
The history of Proper Forcing
I believe that the initial motivations for proper forcing are well explained throughout Shelah's book. If you want a brief look at the evolution of the subject, a good place to start reading at is the "Proper forcing" chapter in the handbook of set theory (written by Uri Abraham). Regarding the open problems, you can check this paper: shelah.logic.at/files/666.pdf |
Nov 21 |
comment |
Characterizing forcings that don't add any dominating reals
@Stefan: Yes, it means "there is no f in V dominating the new real". @Justin: The above result relies quite strongly on the absoluteness properties of Suslin forcing. I'm not aware of a similar result without any definability assumption. |
Nov 21 |
answered | Characterizing forcings that don't add any dominating reals |
Oct 2 |
comment |
$\kappa$-scales and the continuum
As Francois mentioned, b=d implies the existence of a scale. Now, it's worth noting that Martin's axiom implies the above equality (hence the existence of a scale). |