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Arrow contraction applied to a tropical diagram of probability spaces is amodification of the diagram, replacing one of the morphisms by an isomorphims,while preserving other parts of the diagram. It is related to the rate regionsintroduced by Ahlswede and K\"orner. In a companion article we use arrowcontraction to derive information about the shape of the entropic cone. Arrowexpansion is the inverse operation to the arrow contraction.

Arrow Contraction and Expansion in Tropical Diagrams