generated from smyalygames/quartz
5 lines
251 B
Markdown
5 lines
251 B
Markdown
# Definition
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A **measure** on $X$ is a function $\mu : M \to [0,\infty]$ such that:
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1. $\mu(\emptyset) = 0$
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2. $\mu(\cup^{\infty}_{n=1}A_{n}) = \Sigma^{\infty}_{n=1} \mu(A_{n})$ (for pairwise disjoint $A_{n} \in M$)
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Then we say $X$ is a measure space. |