Measure and Topology
As the chapter title indicates, our purpose here is to study measures on classes of subsets of certain topological spaces. Given a topological space X, measures with pertinent properties will be studied on σ-rings and σ-algebras generated by the compact subsets of X, the closed subsets of X, the compact G δ subsets of X, or others. For the most part, X will be taken as a locally compact topological space.
KeywordsTopological Space Haar Measure Borel Measure Compact Hausdorff Space Nondecreasing Sequence
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