EILENBERG-MACLANE SPACES OF COMPACT CONVEX BODIES OF CONSTANT WIDTH

Анотація

The Lie group $S^1$ acts on the hyperspace  $cw\left(I^2\right)$ of convex bodies of constant width inscribed into the unit square $I^2$ by rotation. It is proved that the orbit space $cw\left(I^2\right)/S^1$ of this action contains a Q-manifold which is a $K(\mathrm{\mathbb{Z}},2)$-space.