Zero set
From Free net encyclopedia
In mathematics, zero set is a subset of a topological space that is equal to f -1(0), where f is a continuous function.
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Definition
Let X be a topological space, and let A be a subset of X. If there exists a continuous function
- <math>f:X\longrightarrow \mathbb{R}</math>
such that <math>A = f^{-1}(0),</math> then A is said to be a zero set.
