Measurement structures with archimedean ordered translation groups

@article{Luce1987MeasurementSW,
  title={Measurement structures with archimedean ordered translation groups},
  author={R. Duncan Luce},
  journal={Order},
  year={1987},
  volume={4},
  pages={165-189}
}
  • R. Luce
  • Published 1 June 1987
  • Mathematics
  • Order
The paper focuses on three problems of generalizing properties of concatenation structures (ordered structures with a monotonic operation) to ordered structures lacking any operation. (1) What is the natural generalization of the idea of Archimedeaness, of commensurability between large and small? (2) What is the natural generalization of the concept of a unit concatenation structure in which the translations (automorphisms with no fixed point) can be represented by multiplication by a constant… 
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