Article ID Journal Published Year Pages File Type
4659182 Topology and its Applications 2012 9 Pages PDF
Abstract

Some relevant questions around the Hurewiczʼs formula for the dimension-lowering mappings are under the discussion. In particular, we generalize the notion of a fully closed mapping introduced by V.V. Fedorchuk and find for such new mappings an evaluation formula for the dimension Ind0 (resp. Ind) of preimages via the dimension Ind0 (resp. Ind) of images.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology