Suslin Lattices |
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| Authors: | Dilip Raghavan Teruyuki Yorioka |
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| Institution: | 1. Graduate School of System Informatics, Kobe University, Kobe, 657-8501, Japan
2. Department of Mathematics, Faculty of Science, Shizuoka University, Ohya 836, Shizuoka, 422-8529, Japan
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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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