Generalized Whitney partitions
Volume 166 / 2000
                    
                    
                        Fundamenta Mathematicae 166 (2000), 233-249                    
                                        
                        DOI: 10.4064/fm-166-3-233-249                    
                                    
                                                Abstract
We prove that the upper Minkowski dimension of a compact set Λ is equal to the convergence exponent of any packing of the complement of Λ with polyhedra of size not smaller than a constant multiple of their distance from Λ.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            