- #1
Kalimaa23
- 279
- 0
Greetings,
I'm helping out a student with her upcoming topology exam and something has be stomped. It's probably simple but I'm not seeing it at the moment.
Consider a Hausdorf space (X,T). Any compact subset of X is therefore closed.
The question is to prove the existence of a coarser topology on (X,T) so that closed also implies compactness. I'm basically trying to find a coarser topology on X that makes it compact.
Thanks in advance.
I'm helping out a student with her upcoming topology exam and something has be stomped. It's probably simple but I'm not seeing it at the moment.
Consider a Hausdorf space (X,T). Any compact subset of X is therefore closed.
The question is to prove the existence of a coarser topology on (X,T) so that closed also implies compactness. I'm basically trying to find a coarser topology on X that makes it compact.
Thanks in advance.