# Complete accumulation point

From Encyclopedia of Mathematics

*of a set in a topological space *

A point such that the intersection of with any neighbourhood of has the same cardinality as the entire set .

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#### References

[a1] | A.V. Arkhangel'skii, V.I. Ponomarev, "Fundamentals of general topology: problems and exercises" , Reidel (1984) (Translated from Russian) |

**How to Cite This Entry:**

Complete accumulation point.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Complete_accumulation_point&oldid=18582

This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article