2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.FA2025
Countability conditions in locally solid convergence spaces
Eugene Bilokopytov, Viktor Bohdanskyi, Jan Harm van der Walt
We study (strong) first countability of locally solid convergence structures on Archimedean vector lattices. Among other results, we characterise those vector lattices for which re…
math.FA2021
Net convergence structures with applications to vector lattices
M. O'Brien, V. G. Troitsky, J. H. van der Walt
Convergence is a fundamental topic in analysis that is most commonly modelled using topology. However, there are many natural convergences that are not given by any topology; e.g.,…
math.AP2007★ 2 cited
Generalized solutions to nonlinear first order Cauchy problems
Jan Harm van der Walt
The recent significant enrichment of the Order Completion Method for nonlinear Systems of PDEs resulted in the global existence of generalized solutions to a large class of such eq…