Isomorphism

<mathematics> A bijective {map} between two objects which preserves, in both directions, any structure under consideration.

Thus a `group isomorphism' preserves group structure; an order isomorphism (between posets) preserves the order relation, and so on.

Usually it is clear from context what sort of isomorphism is intended.

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isolated ISO Latin 1 isometric joystick isometry isomorphic	bijection cardinality countable counted dual	isomorphism class ISO Pascal ISO seven layer model ISP ISPBX