A term used in category theory to mean a general morphism. The term derives from the Greek (omo) "alike" and
(morphosis), "to
form" or "to shape." The similarity in meaning and form of the words
"homomorphism" and "homeomorphism"
is unfortunate and a common source of confusion.
See also
Group Homomorphism, Homeomorphism, Morphism, Ring Homomorphism
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Weisstein, Eric W. "Homomorphism." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Homomorphism.html