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Measure and Topology

Measure and Topology

  • Both are family of subset with properties
  • measurable set is called \(\sigma\) algebra

Algebra

Algebra usually means system of operations like \(+\), \(\times\).

Measure problem

  • Which set can be measure?
  • What makes measurable?
  • How to measure?

Topology

  • Something like catergory
  • countable intersections and albitary unions
  • What purpose of the topology?
  • Analysis, continuous function. limits of sequences.