Probabilistic convergence transformation groups

Journal Article

jaeger, T M G Ahsanullah and Gunther . 2019

• نوع عمل المنشور: Original Research
• المجلة \ الصحيفة: Math Slovaca
• الصفحات: Accepted, to appear in 2019

مستخلص المنشور

We introduce a notion of a probabilistic convergence transformation group, and present various natural examples including quotient probabilistic convergence transformation group. In doing so, we construct a probabilistic convergence structure on the group of homeomorphisms and look into a probabilistic convergence group that arises from probabilistic uniform convergence structure on function spaces. Given a probabilistic convergence space, and an arbitrary group, we construct a probabilistic convergence transformation group. Introducing a notion of a probabilistic metric convergence transformation group on a probabilistic metric space, we obtain in a natural way a probabilistic convergence transformation group.