T3 Lindelöf Space is T4 Space/Proof 2
Jump to navigation
Jump to search
Theorem
Let $T = \struct {S, \tau}$ be a $T_3$ Lindelöf topological space.
Then:
- $T$ is a $T_4$ space.
Proof
From $T_3$ Lindelöf Space is Fully $T_4$ Space:
- $T$ is a fully $T_4$ space.
From Fully $T_4$ Space is $T_4$ Space:
- $T$ is a $T_4$ space.
$\blacksquare$