Isomorphisms of Lexicographic Powers of the Reals

DOI10.2307/2160558zbMath0840.06001OpenAlexW4231151750MaRDI QIDQ4874084

Salma Kuhlmann

Publication date: 29 May 1996

Full work available at URL: https://doi.org/10.2307/2160558

zbMATH Keywords

lexicographic orderordinalsHahn productArchimedean complete grouplexicographic products of the realsorder types of well ordered subsets

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Total orders (06A05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (8)

A hierarchy of chains embeddable into the lexicographic power \(({\mathbb{R}}^\omega,\prec_{\text{lex}})\) ⋮ Lexicographic preference representation: intrinsic length of linear orders on infinite sets ⋮ Debreu-like properties of utility representations ⋮ Representable lexicographic products ⋮ Characterizations of standard elements in posets ⋮ The representability number of a chain ⋮ Lexicographic preferences representable by real-branching trees with countable height: a dichotomy result. ⋮ Pointwise Debreu lexicographic powers

Cites Work

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