Zero-dimensional spaces from linear structures

It is well known that spaces defined from a separated uniform structure with a linearly ordered base of uncountable cofinality (omega(mu)-metrizable spaces) are ultraparacompact and have an ortho-base, hence are non-Archimedean spaces in the sense of A, Monna, Our results concern whether certain wider classes of spaces defined from linear structures retain these properties. We construct for every regular cardinal omega(mu) examples of omega(mu)-additive, omega(mu)-stratifiable spaces (i.e.omega(mu)-Nagata spaces) that do not have an ortho-base. We give a number of examples of linearly stratifiable spaces, one of which is related to an example of Eric K. van Douwen concerning countable box products of stratifiable spaces.