Properties
- Any subset of a meagre set is meagre; any superset of a comeagre set is comeagre.
- The union of countable many meagre sets is also meagre; the intersection of countably many comeagre sets is comeagre.
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- This follows from the fact that a countable union of countable sets is countable.
Read more about this topic: Meagre Set
Famous quotes containing the word properties:
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
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