6533b7dafe1ef96bd126ec33

RESEARCH PRODUCT

A Riemann-Type Integral on a Measure Space

Giuseppa Riccobono

subject

Lebesgue measureMathematical analysisMeasure (physics)Mathematics::General Topologypartition of unityRiemann integralRiemann–Stieltjes integralLebesgue integration$PU^*$-integralsymbols.namesakeTransverse measureDifferentiation of integralssymbolsGeometry and TopologyDaniell integral28A25Borel measureAnalysisMathematics

description

In a compact Hausdorff measure space we define an integral by partitions of the unity and prove that it is nonabsolutely convergent.

https://doi.org/10.14321/realanalexch.30.1.0329