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Suslin Lattices

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Abstract

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.

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Correspondence to Dilip Raghavan.

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First author partially supported by Grants-in-Aid for Scientific Research for JSPS Fellows No. 23·01017.

The second author is supported by FY 2010 Researcher Exchange Program between JSPS and NSERC, Grant-in-Aid for Scientific Research (C) 22540124 Japan Society for the Promotion of Science, and Leading Young Researchers of Shizuoka University 2011.

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Raghavan, D., Yorioka, T. Suslin Lattices. Order 31, 55–79 (2014). https://doi.org/10.1007/s11083-013-9288-2

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