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单词 FsigmaSet
释义

Fσ set


A subset of a topological spaceMathworldPlanetmath is called a Fσ set if it equals the union of a countableMathworldPlanetmath collectionMathworldPlanetmath of closed setsPlanetmathPlanetmath.

The complement of a Fσ set is a Gδ set (http://planetmath.org/G_DeltaSet).

For instance, the X set of all points (x,y) in the plane such that either y=0 or x/y is rational is an Fσ set because it can be expressed as the union of a countable set of lines:

X={(x,0)x}r{(ry,y)y}
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更新时间:2025/5/4 19:53:39