Definition 4.2 Let u and be order types represented by chains M and N. We say...

  

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Definition 4.2 Let u and be order types represented by chains M and N. We say that v if there exists an order isomorphism f of M into N. We write u The relation between order types is reflexive and transitive but it is not antisymmetric - for example, let and be order types of the intervals (0, 1) and [0, 1]: then Therefore is not even a partial ordering among order types. and v but v. Definition 4.2 Let u and be order types represented by chains M and N. We say that v if there exists an order isomorphism f of M into N. We write u The relation between order types is reflexive and transitive but it is not antisymmetric - for example, let and be order types of the intervals (0, 1) and [0, 1]: then Therefore is not even a partial ordering among order types. and v but v.