GAN——支撑集

1 支撑集的定义

Suppose that $f:X\to R$ is a real-valued function whose domain is an arbitrary set X. The set-theoretic support of f, written $\text{supp}(f)$, is the set of points in X where f is non-zero,
supp(f)={x∈X∣f(x)≠0} \text{supp}(f) = \left \{ x\in X \mid f\left ( x\right ) \neq 0 \right \} supp(f)={x∈X∣f(x)​=0}
然后我觉得维基百科里面说的这句话也挺好的，这里摘抄一下：

If the domain of f is a topological space, the support of $f$ is instead defined as the smallest closed set containing all points not mapped to zero.