The pushout is the categorical dual of the pullback. The dual concept of the pullback is the "pushout". Also, the pullback is an injective morphism. This morphism has the property that "L" is the pullback formula 7. Pullback by the st exterior power of induces a morphism of spaces. The functors formula 230 and formula 228 are the usual pullback and pushforward functors. This strategic pullback was a potentially fatal blow to the infant Mexican monarchy. The pullback of differential forms has two properties which make it extremely useful. An example of pullback in clinical use can be seen in this video. In the definition above is the inclusion map and the superscript star denotes the pullback. "u" admits a left adjoint "u" called the pullback. In particular, the pullback of a line bundle is a line bundle. The rotation acts on spatial variables, and thus on functions via pullback. In 2010 in a significant pullback to de-Russification, Armenia voted to re-introduce Russian-medium schools. An operation of a different nature is the pullback bundle construction.