Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660299 | Topology and its Applications | 2010 | 7 Pages |
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