# Partition Construction

• October 28th 2008, 09:29 AM
Coda202
Partition Construction
Construct two partitions P and Q of [0,3] such that neither partition is a refinement of the other.
• October 28th 2008, 09:57 AM
ThePerfectHacker
Quote:

Originally Posted by Coda202
Construct two partitions P and Q of [0,3] such that neither partition is a refinement of the other.

Let $P = \{ 0,1,3\}$ and $Q = \{0,2,3\}$.
We can see $P\not \subset Q$ and $Q\not \subset P$.