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Zero Set


If f is a function on an open set U, then the zero set of f is the set Z={z in U:f(z)=0}. A subset of a topological space X is called a zero set if it is equal to f^(-1)(0) for some continuous function f:X->R.


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References

Krantz, S. G. Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 268, 1999.

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Zero Set

Cite this as:

Weisstein, Eric W. "Zero Set." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ZeroSet.html

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