Is there any uncountable subset of Real numbers whose intersection with its limit points is empty set.
58471
Accumulation points of uncountable sets
109638
Show that a complete metric space without isolated points is uncountable
31212
The existence of the empty set is an axiom of ZFC or not?
92571
Sets with no asymptotical density over $\mathbb N$
40601
If a space $X$ has no isolated points, then nor does any dense subset of $X$.
272
Cantor Sets/nonempty/cardinality
39020
Why is empty set an open set?
14972
Cardinality of Vitali sets: countably or uncountably infinite?
16056
Is empty set element of every set if it is subset of every set?
93389
Uncountable sets of Hausdorff dimension zero
51687
Is the set $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ non-empty?
145471
$\Gamma \subset \mathbb{R}^{+}$ is uncountable. Can we choose a sequence from $\Gamma$ of which the sum is $\infty$
76764
Find two closed subsets or real numbers such that $d(A,B)=0$ but $A\cap B=\varnothing$
99064
Uncountable set with exactly one limit point
111723
Can it be proven in $\sf ZF^{\neg\infty}$ that the sets $x_n=\{x_{n+1}\}$ do not exist?
19297
Is the cofinite topology on an uncountable set first countable?
102250
Subset of $C[0,1]$ is nowhere dense