Title of article :
Covering a cube with holes by strips
Author/Authors :
Smurov، نويسنده , , M.V. and Bogataya، نويسنده , , S.I. and Bogatyi، نويسنده , , S.A.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2010
Abstract :
A multidimensional analogue of Bezdekʹs theorem is proved. If a unit m-dimensional cube with a ball of diameter 1 − 1 / m cut is contained in a countable union of strips, then the sum of their breadths is not less than 1.
Keywords :
breadth , Bang theorem , cube , Covering
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications