Lattice uniformities inducing unbounded convergence

Kevin Abela, Emmanuel Chetcuti, Hans Weber

A net $(x_{\gamma }{)}_{\gamma \in \Gamma }$ in a locally solid Riesz space $(X,\tau )$ is said to be unbounded $\tau$-convergent to $x$ if $|x_{\gamma }-x|\wedge u\stackrel{\tau }{⟶}0$ for all $u\in X…