1. On the isomorphy of categories of probabilistic limit spaces under t-norms
- Author
-
PİNCHUCK, A.l. and JAGER, G.
- Subjects
Matematik ,Probabilistic limit space,probabilistic uniform limit space,proba- bilistic Cauchy space,limit tower space,uniform limit tower space,Cauchy tower space,convergence approach space,approach Cauchy space,approach uniform limit space,t-norm ,Mathematics - Abstract
We show that for the classes of strict t-norms, the categories of probabilistic limit spaces under these t-norms are all isomorphic to eachother. The same is true for the categories of probabilistic limit spacesunder nilpotent t-norms. To show this, we study the isomorphisms be-tween the categories of probabilistic limit spaces under a t-norm, limittower spaces and approach limit spaces. Similar results are obtainedfor probabilistic Cauchy spaces and probabilistic uniform limit spaces. 
- Published
- 2013