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codomain <codomain; codomains> SUST.

codomain

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In both cases, image "f" range "f" codomain "f", with at least one of the containments being equality. en.wikipedia.org

There are two operations which are defined on every morphism, the domain (or source) and the codomain (or target). en.wikipedia.org

In this case, instead of specifying sieves, we can specify that certain collections of maps with a common codomain should cover their codomain. en.wikipedia.org

Note that the domain and codomain are in fact part of the information determining a morphism. en.wikipedia.org

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