k-dimensional skeletoids in Rn and the Hilbert cube

In their paper on pseudo-boundaries and pseudo-interiors R. Geoghegan and R.R. Summerhill construct k-dimensional pseudo-boundaries in $\text{R}$ⁿ, where they used West's notion of a pseudo-boundary, rather than Toruńczyk's. In this paper we construct pseudo-boundaries in the sense of Toruńczyk (skeletoids) in $\text{R}$ⁿ and use this result to find k-dimensional skeletoids in the Hilbert cube.