  The properties of the spaces of Sugeno integrable functions are quite
different from those of the ordinary spaces of Lebesgue integrable functions.
The purpose of the paper is to further advance our study of the Sugeno-Lorentz
spaces, in which the completeness and separability of the spaces were
discussed. As a continuation of our previous research, in this paper, some
fundamental topological and topological linear properties of the Sugeno-Lorentz
spaces are investigated in detail.
