Difference between revisions of "Isolated point"
From Encyclopedia of Mathematics
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(→References: Steen & Seebach (1978)) |
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''of a subspace $A$ of a topological space $X$'' | ''of a subspace $A$ of a topological space $X$'' | ||
| − | A point $a\in A$ such that the intersection of some [[Neighbourhood|neighbourhood]] of | + | A point $a\in A$ such that the intersection of some [[Neighbourhood|neighbourhood]] of $a$ with $A$ consists of the point $a$ alone. |
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| + | ====References==== | ||
| + | <table> | ||
| + | <TR><TD valign="top">[1]</TD> <TD valign="top"> Steen, Lynn Arthur; Seebach, J. Arthur Jr. (1978). ''Counterexamples in Topology'' (second edition). Berlin, New York: Springer-Verlag. ISBN 978-0-486-68735-3. MR 507446. Zbl 0386.54001.</TD></TR> | ||
| + | </table> | ||
Revision as of 16:42, 11 October 2014
of a subspace $A$ of a topological space $X$
A point $a\in A$ such that the intersection of some neighbourhood of $a$ with $A$ consists of the point $a$ alone.
References
| [1] | Steen, Lynn Arthur; Seebach, J. Arthur Jr. (1978). Counterexamples in Topology (second edition). Berlin, New York: Springer-Verlag. ISBN 978-0-486-68735-3. MR 507446. Zbl 0386.54001. |
How to Cite This Entry:
Isolated point. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Isolated_point&oldid=31527
Isolated point. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Isolated_point&oldid=31527
This article was adapted from an original article by A.A. Mal'tsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article