Counter-example concerning isometry.
44447
Isometry from Manhattan plane to Euclidean plane?
105233
Is there a counterexample for the claim: if $A \oplus B\cong A\oplus C$ then $B\cong C$?
43626
Open Mapping Theorem: counterexample
144316
counterexample to Abel's theorem
160
homeomorphism non-example
47031
Isometric to Dual implies Hilbertable?
149973
Showing the following coordinate rings are not isomorphic
31392
Examples and Counterexamples of Relations which Satisfy Certain Properties
50731
Isometries of the sphere $\mathbb{S}^{n}$
73001
Mirrored object not symmetrical
136592
Examples of manifolds that are not boundaries
113925
Normal Subgroup Counterexample
71975
Showing that an Isometry on the Euclidean Plane fixing the origin is Linear
116112
Examples of 'almost' vector spaces where unitary law fails
115350
An example of a Banach space isomorphic but not isometric to a dual Banach space
9074
Example of non-isomorphic structures which are elementarily equivalent
119139
Show that antipodal points remain antipodal under any isometry of $S^2$