We consider mainly the following version of set theory: “ZF + DC and for every λ, λℵ0 is well ordered”, our thesis is that this is a reasonable set theory, e.g. on the one ...
We present equiconsistency results at the level of subcompact cardinals. Assuming SBHδ, a special case of the Strategic Branches Hypothesis, we prove that if δ is a Woodin cardin...
In connection with his interest in selfdistributive algebra, Richard Laver established two deep results with potential applications in low-dimensional topology, namely the existenc...