- 207

- 0

## Main Question or Discussion Point

Is it true that the set of permutations on a infinite set K has the same cardinality as all functions between a infinite set K to itself?

- Thread starter moo5003
- Start date

- 207

- 0

Is it true that the set of permutations on a infinite set K has the same cardinality as all functions between a infinite set K to itself?

- 586

- 1

Did you try to set up a bijection? Or did you try **anything** to (dis)prove what you're aksing for?

HallsofIvy

Science Advisor

Homework Helper

- 41,734

- 893

How many functions are there from K to K?

(Permutations

- Last Post

- Replies
- 9

- Views
- 3K

- Replies
- 14

- Views
- 9K

- Replies
- 6

- Views
- 3K

- Last Post

- Replies
- 1

- Views
- 2K

- Last Post

- Replies
- 6

- Views
- 3K

- Replies
- 4

- Views
- 3K

- Replies
- 7

- Views
- 2K

- Last Post

- Replies
- 10

- Views
- 10K