Condensation point

In mathematics, a condensation point p of a subset S of a topological space, is any point p, such that every open neighborhood of p contains uncountably many points of S.

Thus, "condensation point" is synonymous with "-accumulation point".

References

• Walter Rudin, Principles of Mathematical Analysis, 3rd Edition, Chapter 2, exercise 27
• John C. Oxtoby, Measure and Category, 2nd Edition (1980), p. 23

See also

• Limit point
• Countable set