If is a function on an open set , then the zero set of is the set . A subset of a topological space is called a zero set if it is equal to for some continuous function .
Zero Set
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References
Krantz, S. G. Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 268, 1999.Referenced on Wolfram|Alpha
Zero SetCite this as:
Weisstein, Eric W. "Zero Set." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ZeroSet.html