Strong curvature singularities in quasi-spherical asymptotically de Sitterdust collapse

We study the occurrence, visibility, and curvature strength of singularitie s in dust-containing Szekeres spacetimes (which possess no Killing vectors) with a positive cosmological constant. We find that such singularities can be locally naked, Tipler strong and develop from a non-zero-measure set of regular initial data. When examined along timelike geodesics, the singular ity's curvature strength is found to be independent of the initial data.