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Limit Point

A number $x$ such that for all $\epsilon>0$, there exists a member of the Set $y$ different from $x$ such that $\vert y-x\vert<\epsilon$. The topological definition of limit point $P$ of $A$ is that $P$ is a point such that every Open Set around it intersects $A$.

See also Closed Set, Open Set


Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 25-26, 1991.

© 1996-9 Eric W. Weisstein