Probabilistic limit groups under t-norm

Journal Article

Gunther, Ahsanullah, . 2014

• Publication Work Type: Original research
• Publication Online URL: http://topology.auburn.edu/tp/reprints/v44/
• Issue Number: 1
• Volume Number: 44
• Pages: 59-74

Publication Abstract

We introduce probabilistic limit groups under a t-norm and study their basic properties. We show that for the classes of strict t-norms, all categories of probabilistic limit groups under such t-norms are isomorphic. The same is true for nilpotent t-norms. We further show that for each probabilistic limit group under a t-norm there is a natural probabilistic uniform limit structure which has the same underlying probabilistic Cauchy structure as the probabilistic limit group.