Definition of "morphism" []

• An arrow in a category. (noun)
• A map which preserves structure, in a way that depends on the branch of mathematics where it arises. (noun)

Wiktionary.org : Text is available under the Creative Commons Attribution-ShareAlike License

• "In fact, the notion of morphism in the category of logic systems being employed is the key to create or to block interactions."
• "From the categorial point of view, the process is the same as for algebraic fibring, the only difference being that the notion of morphism is stronger."
• "Ellipses in phase space — curves of constant energy — then become isomorphism classes, because the oscillator motion is periodic, and for any A and B connected by a morphism, you can find another time evolution which takes B back into A."