324 citations · 1.7k across the 753 of their papers we have counts for
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Gently Killing S--spaces
Todd Eisworth, Peter Nyikos, Saharon Shelah
We produce a model of ZFC in which there are no locally compact first countable S-spaces, and in which 2^{aleph_0}<2^{aleph_1}. A consequence of this is that in this model there ar…
A Delta^2_2 well-order of the reals and incompactness of L(Q^{MM})
Uri Abraham, Saharon Shelah
A forcing poset of size 2^{2^{aleph_1}} which adds no new reals is described and shown to provide a Delta^2_2 definable well-order of the reals (in fact, any given relation of the…
Strongly almost disjoint families, II
Andras Hajnal, Istvan Juhasz, Saharon Shelah
The relations M(kappa,lambda,mu)->B [resp. B(sigma)] meaning that if A subset [kappa]^lambda with |A|=kappa is mu-almost disjoint then A has property B [resp. has a sigma-transvers…
On omitting cardinals in T_3 spaces
Saharon Shelah
We prove that for every (infinite cardinal) lambda there is a T_3-space X with clopen basis, 2^mu points where mu = 2^lambda, such that every closed subspace of cardinality <|X| ha…
The Yellow Cake
Andrzej Roslanowski, Saharon Shelah
We consider the following property: (*) For every function f from R^2 to R there are functions g_n,h_n from R to R (for n<omega) such that for all real numbers x and y, f(x,y) = su…
Covering of the null ideal may have countable cofinality
Saharon Shelah
We prove that it is consistent that the covering of the ideal of measure zero sets has countable cofinality.