Topological classification of pairs of counter linear maps (in Ukrainian)

We consider pairs of linear mappings $(cal A,cal B)$ of theformsmallskipcenterline{$pud{V}{W} {cal A}{cal B} $} oi in which $V$ and $W$ arefinite dimensional unitary or Euclidean spaces over$mathbb{C}$ or $mathbb{R}$, respectively. Let $(cal A,calB)$ be transformed tosmallskipcenterline{$ pud{V'}{W'} {cal A'}{cal B'} $} oi by bijections$varphi_1colon V o V'$ and $varphi_2colon W o W'$. We saythat $(cal A,cal B)$ and $(cal A',cal B')$ are linearlyequivalent if $varphi_1$ and $varphi_2$ are linear bijectionsand topologically equivalent if $ varphi_1 $ and $ varphi_2 $are homeomorphisms. We prove that $(cal A,cal B)$ and $(calA',cal B')$ are topologically equivalent if and only if theirregular parts are topologically equivalent and their singularparts are linearly equivalent.