Topology

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Discrete Homeomorphism

TOPO-YN2J7Y

Equip each of the following sets with the discrete topology: $\mathbb N$, $\mathbb Z$, $\mathbb Z^2$, and $\mathbb R$. Which space is not homeomorphic to the others?

A

$\mathbb N$

B

$\mathbb Z$

C

$\mathbb Z^2$

D

$\mathbb R$