Cardinality of the basis for $\mathbb{R}$ over $\mathbb{Q}$?
26497
Take $\mathbb{R}$ as a vector space over $\mathbb{Q}$, then a basis for $\mathbb{R}$, then $|B|=2^{\aleph_0}$
102972
Cardinality of $\mathbb{R}^\mathbb{R}$ by diagonal argument
136106
Is every open subset of $ \mathbb{R} $ uncountable?
85681
Cardinality of polynomials with real coefficients
50241
Cardinality of the quotient ring $\mathbb Z_5[i]/\langle 1+i\rangle$
36325
Embedding ordinals in $\mathbb{Q}$
28402
Number of bases of an n-dimensional vector space over q-element field.
153652
Countable ordinals are embeddable in the rationals $\Bbb Q$ -- proofs and their use of AC
106625
Strength of the statement "$\mathbb R$ has a Hamel basis over $\mathbb Q$"
138653
Is $\mathbb{R}$ a subspace of $\mathbb{R}^2$?
144246
Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$
1117
Is there a bijection between $(0,1)$ and $\mathbb{R}$ that preserves rationality?
120522
Showing any countable, dense, linear ordering is isomorphic to a subset of $\mathbb{Q}$
84189
Is $\mathbb{C}$ equal to $\mathbb{R}^2$?
41035
Mapping that proves $\mathbb{Z} \subset \mathbb{Q}$
89167
Cardinality of equivalence relations in $\mathbb{N}$
140628
Are $(\Bbb R,+)$ and $(\Bbb Q, +)$ elementary equivalent?