A. Landver

collaborators

3 papers

math.LO1992

Reflection and Weakly Collectionwise Hausdorff Spaces

Tim LaBerge, Avner Landver

We show that square(theta) implies that there is a first countable <theta-collectionwise Hausdorff space that is not weakly theta-collectionwise Hausdorff. We also show that in the…

math.LO1992

Finite Combinations of Baire Numbers

Avner Landver

Let $κ$ be a regular cardinal. Consider the Baire numbers of the spaces $(2^{θ})_{κ}$ (functions from $θ$ to 2 and the less than $κ$ topology) for various $θ \geq κ$ . Let l be the numbe…

math.LO1992

Remark on the Failure of Martin's Axiom

Avner Landver

Let m be the least cardinal k such that MA(k) fails. The only known model for "m is singular" was constructed by Kunen. In Kunen's model cof(m)=omega_1. It is unknown whether "omeg…