- #1

- 7

- 0

## Homework Statement

Prove that the union of c sets of cardinality c has cardinality c.

## Homework Equations

## The Attempt at a Solution

Well, I could look for a one-to-one and onto function... maybe mapping the union of c intervaks to the reals, or something? I know how to demonstrate that a countable union of countable sets is countable, by showing how to label them.

I'm having a hard time with this one, though.