In this paper, realizing an infinite simplicial complex K in the linear space RK(0) naturally, we investigate the box topology on |K| inherited from RK(0) that is finer than the metric topology and coarser than the Whitehead (weak) topology.
"The box topology of infinite simplicial complexes." Tsukuba J. Math. 36 (2) 295 - 309, December 2012. https://doi.org/10.21099/tkbjm/1358777002