Rudin's proof on the Analytic Incompleteness of Rationals
4552
Choice of $q$ in Baby Rudin's Example 1.1
10247
What is the minimum $ \sigma$-algebra that contains open intervals with rational endpoints
34998
How to prove that $\mathbb{Q}$ ( the rationals) is a countable set
30511
Monic $f(x)\in\Bbb Z[x]$ has no rational root if $f(0)\ \&\ f(1)$ odd [Parity Root Test, Modular Root Test]
12701
Perfect set without rationals
132539
Rudin's Principles of Mathematical Analysis Theorem $1.20 (a)$
1117
Is there a bijection between $(0,1)$ and $\mathbb{R}$ that preserves rationality?
53191
Showing a meromorphic function is rational
128524
Proving there is no analytic function
74515
Elementary proof of claim in Baby Rudin 3.31
148585
Show that, for any $\epsilon>0$, there exist two rationals such that $q < x < q'$ and $|q-q'|<\epsilon$
93606
Showing that $C[0,1]$ is not complete
148474
on the boundary of analytic functions
35378
Prove that $f$ analytic, $f(x) \in \mathbb{R}$ for all $x \in \mathbb{R}$ implies $f(\overline{z})=\overline{f(z)}$
48975
Transcendental numbers and irrationality measure
154796
Completeness of sequence of reals with finitely many nonzero terms
101028
Irrational numbers and Borel Sets