Which Topologies induced by order convergences

2019/09/03 by Azar, Kazem Haghnejad
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1909.00996

Abstract

In this paper, we will study on some topologies induced by order convergences in a vector lattice. We will investigate the relationships of them.

Related

• Order convergence in infinite-dimensional vector lattices is not topological
• Topological concepts in partially ordered vector spaces
• Locally solid convergence structures
• Unbounded topologies and uo-convergence in locally solid vector lattices
• On different modes of order convergence and some applications