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

Explore with Wolfram|Alpha

More things to try:

References

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

Referenced on Wolfram|Alpha

Cite this as:

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

Subject classifications