On the uniform continuity of homeomorphisms between the spheres of ${\ell }_{\infty }^k$ and ${\ell }_1^k$

Bruno de Mendonça Braga, Chris Gartland, Gilles Lancien +3

We consider the problem of whether there is a sequence of homeomorphisms $(F_k{)}_k$ between the unit spheres of the $k$-dimensional Banach spaces ${\ell }_{\infty }^k$ and ${\ell }_1^k$ whic…