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
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.
引用
收藏
页码:581 / 597
页数:17
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