Empty Cartesian Product, what is $\mathbb{R}^0$?
8082
What is A Set Raised to the 0 Power? (In Relation to the Definition of a Nullary Operation)
115270
What are the generators of $(\mathbb{R},+)$?
59644
Proof of Cartesian product intersection
105141
$\mathbb R[x]/\langle x^2+1\rangle\simeq\mathbb C$ and $\mathbb R[x]/\langle x^2+1\rangle$ contains a zero of $x^2+1$
88051
$\mathbb R = X^2$ as a Cartesian product
19754
$\mathbb{R}$ \ $\mathbb{Q}$ and $\mathbb{R}^2\setminus\mathbb{Q}^2$ disconnected?
110353
Is $\mathbb{R}^n$ a polyhedron?
71653
Why is the Cartesian product of a set $A$ and empty set an empty set?
141799
Is $2^{|\mathbb{N}|} = |\mathbb{R}|$?
6161
The cartesian product $\mathbb{N} \times \mathbb{N}$ is countable
44559
Finding a homeomorphism $\mathbb{R} \times S^1 \to \mathbb{R}^2 \setminus \{(0,0)\}$
110957
No non-trivial clopen sets in $\mathbb{R}$? How to give a direct proof?
84780
Cartesian products as sets of all functions.
1162
Why $\{\mathbf{0}\}$ has dimension zero?
723
Is there a constructive way to exhibit a basis for $\mathbb{R}^\mathbb{N}$?
31318
Cardinality of cartesian square
34520
Is $0\,\mathrm{m}$ dimensionless?