%0 Journal Article %T A criterion for cohomological dimension %A Karen Acquista %J Mathematics %D 2005 %I arXiv %X We give a criterion for the cohomological dimension of a field, involving norm maps on Milnor K-theory; this criterion was originally formulated by Kato. The theorem we prove is a generalization of a theorem in Serre's book on Galois cohomology. %U http://arxiv.org/abs/math/0511211v1