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Isomorphisms of lexicographic powers of the reals

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05_Isomorphisms_of_lexicographic_1995.pdf
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1995

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Proceedings of the American Mathematical Society. 1995, 123(9), pp. 2657-2662

Zusammenfassung

Given a chain Γ, we consider the lexicographic order RΓ. If Δ is a chain such that RΓ ≃ RΔ, we examine the question of whether necessarily Γ ≃ Δ. Under an additional hypothesis, we show that Γ and Δ will have the same order types of well ordered subsets. Among other things, this yields an affirmative answer to the above question in the case where Γ and Δ are ordinals.

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Fachgebiet (DDC)
510 Mathematik

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Lexicograhic products of the reals, order, ordinals, Archimedean complete groups

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ISO 690KUHLMANN, Salma, 1995. Isomorphisms of lexicographic powers of the reals. In: Proceedings of the American Mathematical Society. 1995, 123(9), pp. 2657-2662
BibTex
@article{Kuhlmann1995Isomo-535,
  year={1995},
  title={Isomorphisms of lexicographic powers of the reals},
  number={9},
  volume={123},
  journal={Proceedings of the American Mathematical Society},
  pages={2657--2662},
  author={Kuhlmann, Salma}
}
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