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Mathematics

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Measure Theory

Measurable Space - Borel space

Created on May 14, 2023

Measurable Space - Borel space
  • a type ofย mathematical space
  • is a tupleย (๐‘‹,๐น)ย where:
    • ๐‘‹ is a set
    • ๐น is aย ฯƒ-algebraย on ๐‘‹
  • is a basic object in measure theory
  • it consists of a set and a ฯƒ-algebra, which defines the subsets that will be measured
  • note that in contrast to measure space, noย measureย is needed for a measurable space