A universal Aronszajn line

• Autores: Justin Tatch Moore
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 16, Nº 1, 2009, págs. 121-131
• Idioma: inglés
• DOI: 10.4310/mrl.2009.v16.n1.a12
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• Resumen

  • The purpose of this note is to define an Aronszajn line $\eta_C$ and prove that under the assumption of $\PFA$ it is universal for the class of Aronszajn lines. Moreover $\eta_C$ can be easily described in terms of a fixed Countryman type $C$: it is the direct limit of the finite lexicographic products of the form $C \times (-C) \times \ldots \times (\pm C)$.