From various articles in Wikipedia, I have seen some relations between several types of compactness.
In general topological spaces,
I also saw that
In general topological spaces,
Compact $\Longrightarrow$ σ-compact $\Longrightarrow$ Lindelöf.
So I was wondering if we can place σ-compact and Lindelöf in the first chain of relations? If yes, what are their positions?
In metric spaces,
So I was wondering if we can place Limit point compact in the first chain of relations? If yes, what is its position?
Thanks and regards!