Article ID Journal Published Year Pages File Type
4660299 Topology and its Applications 2010 7 Pages PDF
Abstract

For arbitrary integers d,m with d>m⩾1, we construct a Cantor set in Rd such that its projection onto each m-dimensional plane has dimension (m−1). This example gives a partial answer to the question of J. Cobb (1994).

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology