, Volume 31, Issue 1, pp 55–79 | Cite as

Suslin Lattices



In their work on spreading models in Banach spaces, Dilworth et al. (Isr J Math 161:387–411, 2007) introduced the notion of a Suslin lower semi-lattice, a seemingly slight weakening of the notion of a Suslin tree. They posed several problems of a set theoretic nature regarding their notion. In this paper, we make a systematic study of the notion of Suslin lower semi-lattice, answering some of the questions raised by Dilworth, Odell, and Sari.


Lattice Suslin tree P-ideal dichotomy Iterated forcing 


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© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Graduate School of System InformaticsKobe UniversityKobeJapan
  2. 2.Department of Mathematics, Faculty of ScienceShizuoka UniversityShizuokaJapan

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