The free Banach lattice generated by a lattice

被引：5
|
作者：
Aviles, Antonio [1 ]
Rodriguez Abellan, Jose David [1 ]
机构：
[1] Univ Murcia, Dept Matemat, Campus Espinardo, E-30100 Murcia, Spain
来源：
POSITIVITY | 2019年 / 23卷 / 03期
关键词：
Free Banach lattice; Lattice; Linear order; Countable chain condition; 46B43; 06BXX;
D O I：
10.1007/s11117-018-0626-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the free Banach lattice generated by a lattice L. We give an explicit description of it and we study some of its properties for the case when L is a linear order, like the countable chain condition.
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页码：581 / 597
页数：17
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