Measure and topology
If X is an arbitrary topological space, then, as defined in Chapter 6, the σ-ring B of Borel sets in X is the σ-ring generated by the open [closed] subsets of X. There are important cases, however, in which B is generated by smaller collections of sets satisfying additional conditions.
KeywordsBorel Measure Borel Subset Finite Measure Compact Hausdorff Space Regular Borel Measure
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