%0 Journal Article %T The structure of the Mitchell order - I %A Omer Ben-Neria %J Mathematics %D 2014 %I arXiv %X We isolate here a wide class of well founded orders called tame orders and show that each such order of cardinality at most $\kappa$ can be realized as the Mitchell order on a measurable cardinal $\kappa$, from a consistency assumption weaker than $o(\kappa) = \kappa^+$. %U http://arxiv.org/abs/1408.3613v3