Show that R has uncountable number of dense subsets
88079
R has an uncountable number of distinct dense subsets.
90826
Constructing a subset not in $\mathcal{B}(\mathbb{R})$ explicitly
6523
Prove that the space has a countable dense subset
110957
No non-trivial clopen sets in $\mathbb{R}$? How to give a direct proof?
73350
Geometric solution to find a Set of totally ordered Subsets of $ \mathbb{N} $ is uncountable
158018
Everywhere Super Dense Subset of $\mathbb{R}$
115625
Intersection of two open dense sets is dense
92740
prove that $\mathbb{Q}^n$is dense subset of $\mathbb{R^n}$
146098
Number of nonempty subsets of a set with $n$ elements
154474
Image of countable and uncountable sets
106397
Counting ways to partition a set into fixed number of subsets
99064
Uncountable set with exactly one limit point
8557
Invertible Matrices are dense
102250
Subset of $C[0,1]$ is nowhere dense
124060
Are these subsets of the powerset P(N) countable?
28804
No. of possible dense subsets of a metric space
14048
Proof that the complement of zero-measure set on $[0,1]$ is dense in $[0,1]$