Is The Set Of Subsequential Limits Always Closed/Compact?
136851
Proof that the set of subsequential limits is closed
18596
A set $A \subset l_1$ is compact if and only if closed, bounded, and one other condition
11586
Sequences of Real Numbers in a closed bounded interval
158155
Is set of isolated points of S closed?
14219
Is the intersection of a closed set and a compact set always compact?
42698
Set of limit points of a subset of a Hausdorff space is closed.
127173
Closed subset of compact set is compact
50846
Is a set without limit points necessarily closed?
110744
How to prove that a compact set in a Hausdorff topological space is closed?
118508
Is the axiom of choice needed in proving that metric spaces in which every infinite subset has a limit point are compact?
91310
Does a limit point always exist?
64109
Let $a = \liminf x_n$, $b = \limsup x_n$. If $\lim (x_{n+1} - x_n) = 0$ then every element of $(a,b)$ is a subsequential limit of $(x_n)$
116663
If f is a continuous map from X to Y with X limit point compact, does it follow that f(X) is limit point compact?
94485
Limit point compactness implies compactness.
40682
What's going on with "compact implies sequentially compact"?
12547
Is it okay to "ignore" small numbers in limits where $x$ approaches infinity?
106957
Compact sets are closed?