Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6856046 | Fuzzy Sets and Systems | 2018 | 19 Pages |
Abstract
If L and M are frames, and N is a quantale, then using stratification mappings between frames, we introduce a category of stratified LMN-convergence tower groups - a topological category. We then prove that every stratified LMN-limit tower group induces a stratified LMN-uniform convergence tower space. Also, we introduce a category of stratified LMN-Cauchy tower groups, and show that the category of strongly normal stratified LMN-limit tower groups, is isomorphic to the category of stratified LMN-Cauchy tower groups. We provide various examples in support of our theories so far developed herein the text.
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Authors
T.M.G. Ahsanullah, Gunther Jäger,