Connected sets and irrational numbers
16517
Arcwise connected part of $\mathbb R^2$
100319
Functional equation with strange property about irrational numbers
147350
Homeomorphism between $\prod X_i$ and the Cantor set
104411
sum of two connected subset of $\mathbb{R}$
118374
Is there a proof that $\pi$ is an irrational number?
151719
Connected set in $\mathbb{S}^1$
272
Cantor Sets/nonempty/cardinality
103717
Topological Property of the Set of Integers
31744
Proving that there is an irrational number between any two unequal rational numbers.
140949
Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational
34825
Intuitive explanation for how could there be "more" irrational numbers than rational?
67605
Different proof that $\sqrt{2}$ is irrational
30796
Is the set of irrationals separable as a subspace of the real line?
138446
Proving that there exists an irrational number in between any given real numbers
50555
Approximation of real number to the power of irrational
104548
Geometric proof for irrationality of $\pi$
15487
Continuous function from a connected set?