Here is my problem: Define an equivalence relation on the set R that partitions the real line into subsets of length 1.

I don't know what this means.

Printable View

- Feb 1st 2009, 11:18 AMhayter221Equivalence Relation
Here is my problem: Define an equivalence relation on the set R that partitions the real line into subsets of length 1.

I don't know what this means. - Feb 1st 2009, 12:49 PMPlato
Use the floor function: $\displaystyle R = \left\{ {(x,y):\left\lfloor x \right\rfloor = \left\lfloor y \right\rfloor } \right\}$.

You need to supply the details.