Probabilistic uniform convergence spaces redefined

Journal Article

Jaeger, T. M. G. Ahsanullah, G . 2015

• Publication Work Type: Original reserach
• Publication Online URL: http://link.springer.com/article/10.1007/s10474-015-0525-6
• Magazine \ Newspaper: Acta Math. Hungarica
• Issue Number: 2
• Volume Number: 146
• Pages: 376 to 390

Publication Abstract

We develop a theory of probabilistic uniform convergence spaces based on Tardiff"s neighborhood systems for probabilistic metric spaces. We show that the resulting category is topological and Cartesian closed. A subcategory is idenified that is isomorphic to the category of probabilistic metric spaces.