I was taking a look at this book. It says (p 102) that
If a topological space (X, T) is not connected, than X contains a subset U such that U isn't X, U isn't empty and U is clopen.
The book brings no proof of the fact. How does this imply?
I was taking a look at this book. It says (p 102) that
If a topological space (X, T) is not connected, than X contains a subset U such that U isn't X, U isn't empty and U is clopen.
The book brings no proof of the fact. How does this imply?