Exact form of distance preserving map $T:\mathbb R^2 \to \mathbb R^2.$
123026
Rigid motion on $\mathbb{R}^2$ which fixes the origin is linear
15909
Bijection from $\mathbb R$ to $\mathbb {R^N}$
85242
Deciding whether two metrics are topologically equivalent in the space $C^1([0,1])$
100107
How can I prove that a linear map $T:V\to V$ such that $T^2 = I$ is equal to the Identity map?
15095
continuous onto map from $(0,1)\to (0,1]$
12825
Bijection between $2^{\mathbb R}$ and $\mathbb{ R ^ R}$
97914
Contractive mapping on compact space
62711
Canonical map $R/(I\cap J)\rightarrow R/I\times _{R/(I+J)} R/J$ is an isomorphism
5250
Are $T\mathbb{S}^2$ and $\mathbb{S}^2 \times \mathbb{R}^2$ different?
34177
Prove that $\mathbb{R}^2\setminus\mathbb{Q}^2$ is connected without path connectedness
143269
Existence of area-preserving diffeomorphism between two sets in $\mathbb{R}^2$
135634
Prove that there exists a smooth map $g\colon R\to R$ such that $f(\cos(t),\sin(t))=(\cos(g(t)),\sin(g(t)))$ and satisfying $g(2π)=g(0)+2\pi q$.
37813
If $T\colon \mathbb R^n \to \mathbb R^n $ linear and $T^2 = kT$
97761
Show that a proper continuous map from $X$ to locally compact $Y$ is closed
73559
Map preserving intervals but discontinuous
16789
Prove that $T^2$ is the zero transformation if and only if $\mathrm{range}(T) \subseteq \ker(T)$.
53695
explicit formula for contraction of conus of homotopy equivalence