Residual Set

In a complete metric space, a countable union of nowhere dense sets is said to be meager; the complement of such a set is a residual set.

See also

First Category, Meager Set, Metric Space, Nowhere Dense

This entry contributed by Barnaby Finch

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References

Morgan, J. C. Point Set Theory. Boca Raton, FL: CRC Press, p. 12, 1989.

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Cite this as:

Finch, Barnaby. "Residual Set." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ResidualSet.html

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