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Are there sets that are not partitionable in certain ways? For exemple, can I partition [itex]\mathbb{R}[/itex] into a collection of singletons?
Can I partition [itex]\mathbb{R}^2[/itex] into a collection of lines of slope 2?
If so, how would you write each of those partitions?
Thx.
Can I partition [itex]\mathbb{R}^2[/itex] into a collection of lines of slope 2?
If so, how would you write each of those partitions?
Thx.