Non-measurable sets and the equation ๐(๐ฅ+๐ฆ)=๐(๐ฅ)+๐(๐ฆ)
Non-measurable sets and the equation ๐(๐ฅ+๐ฆ)=๐(๐ฅ)+๐(๐ฆ)
1. A set of S real numbers which has inner measure m*(S) different from its outer measure m*(S) is non-measurable. An extreme form, which we shall call saturated non-measurability, occurs when m*(S) = 0 but m*(SM) = m(M) for every measurable set M, m(M) denoting the measure of M. This โฆ