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isomorphism
This term describes a state of structural identity where two things look different on the surface but function identically in their internal logic. It suggests a perfect mirror image of relationships rather than a mirror image of appearance. In mathematics, it implies that any property true for one structure is necessarily true for the other. In sociology or organizational theory, it refers to the process where organizations in the same field begin to look alike because they face similar pressures. This creates a standardized environment where diverse entities converge toward a single, optimal form of operation to maintain legitimacy.
Countable when referring to a specific mapping or a distinct instance of equivalence between two sets. Uncountable when discussing the general theoretical concept of structural similarity across disciplines.
Meanings
A one-to-one correspondence between two systems that preserves the structural properties of both.
"The isomorphism between the two groups allows us to solve the problem in the simpler system."