A Hierarchy of Chains Embeddable into the Lexicographic Power $\boldsymbol{({\mathbb{R}}^\omega,\prec

A Hierarchy of Chains Embeddable into the Lexicographic Power $\boldsymbol{({\mathbb{R}}^\omega,\prec_{\rm lex})}$

Published:2012-03-18 Issue:2 Volume:30 Page:463-485
ISSN:0167-8094
Container-title:Order
language:en
Short-container-title:Order

Author:

Giarlotta Alfio,Watson Stephen

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Geometry and Topology,Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s11083-012-9256-2.pdf

Reference15 articles.

1. Caserta, A., Giarlotta, A., Watson, S.: Debreu-like properties of utility representations. J. Math. Econ. 44, 1161–1179 (2008)

2. Chipman, J.P.: On the lexicographic representations of preference orderings. In: Chipman, J.S., Hurwicz, L., Richter, M., Sonnenschein, H.F. (eds.) Preference, Utility and Demand, pp. 276–288. Harcourt Brace and Jovanovich, New York (1971)

3. Fleischer, I.: Embedding linearly ordered sets in real lexicographic products. Fundam. Math. 49, 147–150 (1961)

4. Giarlotta, A.: Lexicographic products of linear orderings. Ph.D. dissertation, University of Illinois at Urbana-Champaign, Urbana (2004)

5. Giarlotta, A.: The representability number of a chain. Topol. its Appl. 150, 157–177 (2005)

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