On the isomorphy of categories of probabilistic limit spaces under t-norms
We show that for the classes of strict t-norms, the categories of probabilistic limit spaces under these t-norms are all isomorphic to each
other. The same is true for the categories of probabilistic limit spaces
under nilpotent t-norms. To show this, we study the isomorphisms be-
tween the categories of probabilistic limit spaces under a t-norm, limit
tower spaces and approach limit spaces. Similar results are obtained
for probabilistic Cauchy spaces and probabilistic uniform limit spaces.
Keywords:
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,
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- Yayın Aralığı: 6
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi