Cardinality Question

112 Views Asked by At

I am just trying to see if my answers are correct to this question.

a) $\mathbb N$

b) $P$($\mathbb N$)

c) $\mathbb N$

Is this correct?

1

There are 1 best solutions below

0
On

Your answers are correct. Finite subsets of $\mathbb N$ correspond to $\mathbb Q\cap(0,1]$ ( consider decimal expression ). Similarly infinite subsets of $\mathbb N$ correspond to $\mathbb R\cap(0,1]$ and finite sequences correspond to finite sets.