Publikation: Isomorphisms of lexicographic powers of the reals
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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 690
KUHLMANN, Salma, 1995. Isomorphisms of lexicographic powers of the reals. In: Proceedings of the American Mathematical Society. 1995, 123(9), pp. 2657-2662BibTex
@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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