A Boolean topological orthomodular poset

被引：0
作者：
John Harding
机构：
[1] New Mexico State University,Department of Mathematical Sciences
来源：
Algebra universalis | 2012年 / 68卷
关键词：
Primary: 06F30; Secondary: 03G12; 06C15; 81P10; topological orthomodular poset; Boolean algebra; topological lattice;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Wilce introduced the notion of a topological orthomodular poset and proved any compact topological orthomodular poset whose underlying orthomodular poset is a Boolean algebra is a topological Boolean algebra in the usual sense. Wilce asked whether the compactness assumption was necessary for this result. We provide an example to show the compactness assumption is necessary.
引用
收藏
页码：193 / 196
页数：3
相关论文
共 5 条
  • [1] Choe T.H.(1993)Profinite orthomodular lattices Proc. Amer. Math. Soc. 118 1053-1060
  • [2] Greechie R.J.(1992)Topological and order-topological orthomodular lattices Bull. Austral. Math. Soc. 46 509-518
  • [3] Riečanová Z.(2005)Topological test spaces Internat. J. Theoret. Phys. 44 1227-1238
  • [4] Wilce A.(2005)Symmetry and topology in quantum logic Internat. J. Theoret. Phys. 44 2303-2316
  • [5] Wilce A.(undefined)undefined undefined undefined undefined-undefined
1