Difference between revisions of "Complete accumulation point"
From Encyclopedia of Mathematics
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| − | A point | + | 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 $M$. |
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| − | + | |valign="top"|{{Ref|ArPo}}||valign="top"| A.V. Arkhangel'skii, V.I. Ponomarev, "Fundamentals of general topology: problems and exercises", Reidel (1984) (Translated from Russian) | |
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Revision as of 21:16, 24 July 2012
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=18582
Complete accumulation point. Encyclopedia of Mathematics. URL: http://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