Namespaces
Variants
Actions

Complete accumulation point

From Encyclopedia of Mathematics
Revision as of 21:16, 24 July 2012 by Jjg (talk | contribs) (TeX, Refs, MSC)
Jump to: navigation, search
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

2020 Mathematics Subject Classification: Primary: 54Axx [MSN][ZBL]

A complete accumulation point of a set $M$ in a topological space $X$ is a point $x\in X$ such that the intersection of $M$ with any neighbourhood of $x$ has the same cardinality as the entire set $M$.

References

[ArPo] 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://encyclopediaofmath.org/index.php?title=Complete_accumulation_point&oldid=27203
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article