Prove that .N; / and .Z; / are not isomorphic. Note: This exercise shows that infinite

Chapter 56, Problem 56.6

(choose chapter or problem)

Prove that .N; / and .Z; / are not isomorphic. Note: This exercise shows that infinite total orders need not be isomorphic; there can be no analogue to Theorem 56.4 if the posets are not finite. Furthermore, these two posets have the same size (transfinite cardinality): @0.

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back