Limit Point

A number  such that for all , there exists a member of the set  different from  such that .

The topological definition of limit point  of  is that  is a point such that every open set around it contains at least one point of  different from .

REFERENCES:

Jeffreys, H. and Jeffreys, B. S. Methods of Mathematical Physics, 3rd ed. Cambridge, England: Cambridge University Press, pp. 9-10, 1988.

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

Munkres, J. R. Topology: A First Course, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, p. 96 2000.