Till Hauser
Published 2019-10-24Version 1
In the context of partially ordered vector spaces one encounters different sorts of order convergence and order topologies. This article will investigate these notions and their relations. In particular we study and relate the order topology presented by Floyd, Vulikh and Dobbertin, the order bound topology studied by Namioka and the concept of order convergence given in the works of Abramovich, Sirotkin,Wolk and Vulikh.
On disjointness, bands and projections in partially ordered vector spaces
A generalization of order convergence
Order topology on orthocomplemented posets of linear subspaces of a pre-Hilbert space
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