15 citations · 77 across the 93 of their papers we have counts for
9 papers · 1 filter
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…
There are no infinite order polynomially complete lattices after all
Martin Goldstern, Saharon Shelah
A lattice L is called opc if every monotone function f : L^n -> L is induced by a polynomial. We show here: If L is a lattice with the interpolation property whose cardinality is a…
More Jonsson algebras
Saharon Shelah
We prove that on many inaccessible there is a Jonsson algebra, so e.g. the first regular Jonsson cardinal lambda which is lambda x omega-Mahlo. We give further restrictions on succ…
Consistency of the existence of a 4-place function on aleph_2 with no independent subset of size k_n
Peter Komjath, Saharon Shelah
It is consistent that there is a set mapping from the four-tuples of omega_n into the finite subsets with no free subsets of size t_n for some natural number t_n. For any n< omega…