Equivalence (measure theory)

ID: equivalence-measure-theory

In measure theory, "equivalence" can refer to several different but related concepts, depending on the context. Below are a few common interpretations: 1. **Equivalent Measures**: Two measures \(\mu\) and \(\nu\) defined on the same \(\sigma\)-algebra are said to be equivalent if they "give the same result" in the sense that they assign the same sets measure zero.

New to topics? Read the docs here!