$\mathbb{Q}$ is not the countable intersection of open sets. Is my Reasoning Correct?
11710
How to show that $\mathbb{Q}$ is not $G_\delta$
153652
Countable ordinals are embeddable in the rationals $\Bbb Q$ -- proofs and their use of AC
92703
Proving that $\mathbb{Z}[x]$ and $\mathbb{Q}[x]$ are not isomorphic.
132386
Show that $(\mathbb{Q}^*,\cdot)$ and $(\mathbb{R}^*,\cdot)$ aren't cyclic
48162
Is the subset $[0, \sqrt2] ∩\mathbb{Q} ⊂ \mathbb{Q}$ closed, bounded, compact?
67451
Building a bijection from a finite union of countable sets to $\mathbb{N}$
36315
Is $[0,1]$ a countable disjoint union of closed sets?
136106
Is every open subset of $ \mathbb{R} $ uncountable?
155168
Is the collection of finite subsets of $\mathbb{Z}$ countable?
70048
In which topologies do open sets maintain open under countable or arbitrary intersection?
44623
Closed set as a countable intersection of open sets
17525
Why the interior of $\mathbb{Q}$ in $\mathbb{R}$ is empty?
79424
Don't understand proof that interior of a set is open
149095
$f(\mathbb{R}\setminus \mathbb{Q}) \subseteq \mathbb{Q}$ and $f(\mathbb{Q}) \subseteq \mathbb{R}\setminus \mathbb{Q}$ imply that $f$ is not continuous
107370
An open covering of $\mathbb{Q} \cap [0,1]$ that does not contain any finite subcovering
129227
An example of neither open nor closed set
16654
Unions and Intersections of Open Sets are Open