Sh:615

• Kuhlmann, F.-V., Kuhlmann, S., & Shelah, S. (2003). Functorial equations for lexicographic products. Proc. Amer. Math. Soc., 131(10), 2969–2976. arXiv: math/0107206 DOI: 10.1090/S0002-9939-03-06830-8 MR: 1993201
• Abstract:
  We generalize the main result of [KKSh:601] concerning the convex embeddings of a chain \Gamma in a lexicographic power \Delta^\Gamma. For a fixed nonempty chain \Delta, we derive necessary and sufficient conditions for the existence of nonempty solutions \Gamma to each of the lexicographic functional equations (\Delta^\Gamma)^{\leq 0}\simeq \Gamma, (\Delta^\Gamma)\simeq \Gamma, and (\Delta^\Gamma)^{<0}\simeq\Gamma.
• Version 2002-07-22_10 (9p) published version (8p)

@article{Sh:615,
 author = {Kuhlmann, Franz-Viktor and Kuhlmann, Salma and Shelah, Saharon},
 title = {{Functorial equations for lexicographic products}},
 journal = {Proc. Amer. Math. Soc.},
 fjournal = {Proceedings of the American Mathematical Society},
 volume = {131},
 number = {10},
 year = {2003},
 pages = {2969--2976},
 issn = {0002-9939},
 mrnumber = {1993201},
 mrclass = {06A05 (03C60 12J25)},
 doi = {10.1090/S0002-9939-03-06830-8},
 note = {\href{https://arxiv.org/abs/math/0107206}{arXiv: math/0107206}},
 arxiv_number = {math/0107206}
}