Re: Cardinality properties

Quote:

Originally Posted by

**MachinePL1993** and

have the same cardinality, so do

and

I need to check if the following sets also have the same cardinality:

1)

and

.

Those two cartesian products have the same cardinality, as it's easy to construct a bijection between those two sets using bijections

and

.

2)

and

.

Counterexample:

Then

and

.

2)

and

.

Counterexample:

Then

and

.

You have several notation mistakes. It should be

construct a bijection between those two sets using bijections and .

And

Then and .