Stratified (L; M)-semiuniform convergence tower spaces

Document Type: Original Manuscript


School of Mathematics, Beijing Institute of Technology, Beijing


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


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