Transcription of LECTURE NOTES IN MEASURE THEORY - Chalmers
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LECTURE NOTES IN MEASURE THEORY - Chalmers
1 LECTURE NOTESIN MEASURE THEORYC hrister BorellMatematikChalmers och G teborgs universitet412 96 G teborg(Version: January 12)2 PREFACET hese are LECTURE NOTES on integration THEORY for a eight-week course at theChalmers University of Technology and the G teborg University. The partsde ning the course essentially lead to the same results as the rst threechapters in the Folland book[F];which is used as a text book on the proofs in the LECTURE NOTES sometimes di er from those given in[F]:Hereis a brief description of the di erences to simplify for the Chapter 1 we introduce so called -systems and -additive classes,which are substitutes for monotone classes of sets[F]. Besides we prefer toemphasize metric outer measures instead of so called premeasures.
1 LECTURE NOTES IN MEASURE THEORY Christer Borell Matematik Chalmers och Göteborgs universitet 412 96 Göteborg (Version: January 12)
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