Which are correct ?
1) N and Z are order isomorphism.
2)N and Q are order isomorphism.
3)Z and Q are order isomorphism .
order isomorphism https://en.m.wikipedia.org/wiki/Order_isomorphism
order isomorphism
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$\begingroup$
elementary-number-theory
functions
rational-numbers
integers
1 Answers
1
See https://en.wikipedia.org/wiki/Order_type.
I know that (2) and (3) are false. Notice that in the ordering of $\mathbb{Q}$, for any two given elements there are infinitely many elements between them. This property is not true of $\mathbb{N}$ of $\mathbb{Z}$.
I think that (1) is also false, since $\mathbb{N}$ has a least element and $\mathbb{Z}$ does not.
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0I agree with you.... for me three option shoud be wrong but from where i pick the question ,there mark 1) as answer – 2017-02-16
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0Are you saying that somehow you were told that 1) is correct, maybe in an answer key or something? – 2017-02-16