intuition on the countable dense subset implying separability
132095
Motivation for the term "separable" in topology
90590
Prove that the following set is dense
158018
Everywhere Super Dense Subset of $\mathbb{R}$
33157
Proof that an infinite subset of $\mathbb{N}$ is countable
81509
The cardinality of a countable union of countable sets, without the axiom of choice
44623
Closed set as a countable intersection of open sets
19856
Prove that a subset of a separable set is itself separable
139247
Real Analysis - Prove a set is countable
95294
Dense subset of $C[0,1]$ which preserves rationals
132382
Showing a set is nowhere dense in $C([0,1])$
99478
countably infinite union of countably infinite sets is countable
28804
No. of possible dense subsets of a metric space
53429
In a complete metric space with no isolated points, any countable intersection of open dense sets is uncountable?
120522
Showing any countable, dense, linear ordering is isomorphic to a subset of $\mathbb{Q}$
146062
A "Cantor-Schroder-Bernstein" theorem for partially-ordered-sets
68490
For $x\in\mathbb R\setminus\mathbb Q$, the set $\{nx-\lfloor nx\rfloor: n\in \mathbb{N}\}$ is dense on $[0,1)$
102543
Real definition of "countable set"