Stratified (L; M)-semiuniform convergence tower spaces

Abstract

<span class="fontstyle0">The notion of stratified (</span><span class="fontstyle2">L, M</span><span class="fontstyle0">)-semiuniform convergence tower spaces is introduced, which extends the notions of<br />probabilistic semiuniform convergence spaces and lattice-valued semiuniform convergence spaces. The resulting category<br />is shown to be a strong topological universe. Besides, the relations between our category and that of stratified (</span><span class="fontstyle2">L, M</span><span class="fontstyle0">)-<br />filter tower spaces are studied.</span> <br /><br />