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Observations of light isotopes in cosmic rays provide information on their origin and propagation in the Galaxy. Using the data collected by AMS-01 in the STS-91 space mission, we report our final results on the isotopic composition of hydrogen and helium between 200 MeV and 1.4 GeV per nucleon. These measurements are in good agreement with the previous data and set new standards of precision. We discuss the role of isotopic composition data in modeling the cosmic ray production, acceleration and diffusive transport in the Galaxy.