%0 Journal Article %T Realizability Models Separating Various Fan Theorems %A Robert S. Lubarsky %A Michael Rathjen %J Mathematics %D 2015 %I arXiv %X We develop a realizability model in which the realizers are the reals not just Turing computable in a fixed real but rather the reals in a countable ideal of Turing degrees. This is then applied to prove several separation results involving variants of the Fan Theorem. %U http://arxiv.org/abs/1510.02147v1