Prove that the product spaces $[0, 1] \times (0, 1]$ and $(0, 1] \times (0, 1]$ are homeomorphic.
88155
Show that $[0, 1)\times[0, 1)$ is homeomorphic to $[0, 1]\times[0, 1)$ but not to $[0, 1]\times[0, 1]$.
52012
Is there exist a homemoorphism between either pair of $(0,1),(0,1],[0,1]$
25397
Prove $R \times R$ is NOT an integral domain
39453
How do I prove that $S^n$ is homeomorphic to $S^m \Rightarrow m=n$?
57816
$(S^1 \times [0,1])/\sim$ homeomorphic to unit disk $ D^2$
82458
Homeomorphism between the unit disc and the unit square
154698
Union of Cartesian products: $X \times (Y \cup Z)= (X \times Y) \cup(X\times Z)$
94059
Extending a Homotopy from $X \times [0,1]$ to $X \times \mathbb{R}$
57981
Alternative proof of $a\times0= 0$
139176
The real line is not homeomorphic to any non-trivial product space
118288
Complex structure on $\mathbb S^1 \times \mathbb S^3$
151295
Proving $|S \times \mathbb{N}|=|S|$ when $S$ is an infinite set
129081
Proof that convex open sets in $\mathbb{R}^n$ are homeomorphic?
55978
Prove that for every countable ordinal $\alpha$, $\alpha\times[0,1)$ is order isomoprhic to $[0,1)$
143831
Showing $\mathbb{Q}$ is homeomorphic to $\mathbb{Q}^2$
111348
Show that $\mathrm{S}_{m} \times \mathbb{N}^{m} \rightarrow \mathbb{N}^{m}$ defines an action of $\mathrm{S}_{m}$ on $\mathbb{N}^{m}$
45432
Showing that $f:(0,2\pi]\to S^1$ is not a homeomorphism