Functors and manifolds modeled on some kω-space

Анотація

There is a universal space $K^{\infty }$ for the class of compact metric spaces of finite f.-d. derivative. We consider the question of preservation of $K^{\infty }$-manifolds by some functorial constructions. We also consider a universal map ${\phi }_K:{\mathrm{ℝ}}^{\infty }\to K^{\infty }$ and discuss some of its properties, in particular, its preservation by some functors.