Weakly infinite-dimensional spaces modulo simplicial complexes
V. V. Fedorchuk · Moscow University Mathematics Bulletin · 2009
The classes of spaces -wid and ℒ-wid are introduced for the class of finite simplicial complexes and the class ℒ of compact polyhedra. If , then -wid = wid, ℒ-wid = S-wid. It is proved that S-wid ⊂ ℒ-wid and ℒ-wid = S-ℒ τ -wid for any triangulation τ of the class ℒ.