Archiv der Mathematik

, Volume 95, Issue 5, pp 493–500 | Cite as

Measure theory: transplantation theorems for inner premeasures

  • Heinz König
Open Access


The main result is a new transplantation theorem for the inner \({\star}\) premeasures of the author, with a few related theorems. These results have basic implications for example for the construction of Radon measures. They received a certain inspiration from the treatment of Radon measures in the treatise of Fremlin on measure theory.

Mathematics Subject Classification (1991)

28A12 28C15 


Inner premeasures and their maximal inner extensions Transplantation theorems Radon premeasures and Radon measures 


Open Access

This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2010

Authors and Affiliations

  1. 1.Fakultät für Mathematik und InformatikUniversität des SaarlandesSaarbrückenGermany

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