Weakly infinite-dimensional spaces modulo simplicial complexes / V. V. Fedorchuk. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. ? 3. P. 33-40 [Moscow Univ. Math. Bulletin. Vol. 64, N 3, 2009. P. 121-128].

The classes of spaces {\mathscr{K}}\text{-}{\rm wid} and {\mathscr{L}}\text{-}{\rm wid} are introduced for the class \mathscr{K} of finite simplicial complexes and the class \mathscr{L} of compact polyhedra. If {\mathscr{K}}={\mathscr{L}}=\{0,1\}, then {\mathscr{K}}\text{-}{\rm wid}={\rm wid}, {\mathscr{L}}\text{-}{\rm wid}=S\text{-}{\rm wid}. It is proved that S\text{-}{\rm wid}\subset{\mathscr{L}} \text{-}{\rm wid} and {\mathscr{L}}\text{-}{\rm wid} =S\text{-}{\mathscr{L}}_\tau\text{-}{\rm wid} for any triangulation \tau of the class \mathscr{L}.

Key words: weakly initite-dimensional space, simplicial complex, polyhedron.