A compact Hausdorff space that is not Tychonoff

369 Views Asked by At

Is there an example of compact Haudorff that is not Tychonoff?

As every continuous function on compact space is bounded, then I was thinking maybe every compact Haudorff is Tychonoff but I failed to prove it.

1

There are 1 best solutions below

1
On

Every compact Hausdorff space is normal. Normal spaces are Tychonoff.