Whether $(0,1)$ and $(0,1]$ are homeomorphic
52012
Is there exist a homemoorphism between either pair of $(0,1),(0,1],[0,1]$
83166
Homeomorphism(topological spaces) version of Cantor–Bernstein–Schroeder theorem
117777
What are the zero divisors of $C[0,1]$?
46771
$X$ is homeomorphic to $X\times X$ (TIFR GS $2014$)
90649
Consider $f(x)=mx$ and $g(x) =bx$ in which $m>0$ and $b>0$. Does there exist any homeomorphism $h$ such that $h \circ f$ = $g \circ h$
107076
Prove $S^1$ is not homeomorphic to $S^2$ using connectedness
45216
Cardinality of $[0,1]$
37892
If $X$ is homeomorphic to $Y$ then is $X/{\sim}$ homeomorphic to $Y/{\sim'}$?/
86717
Completeness of $\langle \mathscr{C} [0, 1], \| \cdot \|_1 \rangle$
37814
Is a Bundle whose Fibers are Homeomorphic a Fiber Bundle?
112131
Characterizing all ring homomorphisms $C[0,1]\to\mathbb{R}$.
39453
How do I prove that $S^n$ is homeomorphic to $S^m \Rightarrow m=n$?
148187
Question regarding one-point compactification and homeomorphisms
85586
Proving $\mathbb{Q}$ isn't homeomorphic to $\mathbb{Z}$
77563
Homeomorphism between spaces equipped with cofinite topologies
45432
Showing that $f:(0,2\pi]\to S^1$ is not a homeomorphism
44559
Finding a homeomorphism $\mathbb{R} \times S^1 \to \mathbb{R}^2 \setminus \{(0,0)\}$