Compactness
Lets M a set dotted with theT Topology.
It is said that A ⊂ M is compact set if every open cover has a finite subcover, or
A = Un=1∞An
then, there exist {n1, n2, ..., nm } index such as
A = An1 U An2 U ... U Anm
Note: in Rn; with the usual topology
If A ⊂ Rn is Compact then A is closed and bouded
Lets M a set dotted with theT Topology.
It is said that A ⊂ M is compact set if every open cover has a finite subcover, or
A = Un=1∞An
then, there exist {n1, n2, ..., nm } index such as
A = An1 U An2 U ... U Anm
Note: in Rn; with the usual topology
If A ⊂ Rn is Compact then A is closed and bouded
