proof that a finite collection of sets will not suffice
Suppose that you cut into . Displacing the parts is simply translating them; you can suppose that you leave in place and translate all the others to the right. Let be the smallest translation length : if after translation the union contains , necessarily . A contradiction ensues.
|Title||proof that a finite collection of sets will not suffice|
|Date of creation||2013-03-22 14:38:46|
|Last modified on||2013-03-22 14:38:46|
|Last modified by||rspuzio (6075)|