Nonmeager Set

A subset of a topological space is said to be nonmeager if is of second category in , i.e., if cannot be written as the countable union of subsets which are nowhere dense in .

See also

Baire Category Theorem, First Category, Meager Set, Nowhere Dense, Second Category

This entry contributed by Christopher Stover

Explore with Wolfram|Alpha

More things to try:

References

Rudin, W. Functional Analysis. New York: McGraw-Hill, 1991.

Referenced on Wolfram|Alpha

Cite this as:

Stover, Christopher. "Nonmeager Set." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/NonmeagerSet.html

Subject classifications