2018•arXiv (Cornell University)Open access
The tree property at double successors of singular cardinals of\n uncountable cofinality with infinite gaps
Mohammad Golshani, Alejandro Poveda
Open full text 0 citations
Abstract
Assuming the existence of a strong cardinal $\\kappa$, a weakly compact\ncardinal $\\lambda$ above it and $\\gamma > \\lambda,$ we force a generic\nextension in which $\\kappa$ is a singular strong limit cardinal of any given\ncofinality $\\delta$, $2^\\kappa\\geq \\gamma$ and such that the tree property\nholds at $\\kappa^{++}$.\n
Open-access reader