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Probabilistic uniform convergence spaces redefined

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Abstract

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

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Authors and Affiliations

  1. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    T. M. G. Ahsanullah

  2. School of Mechanical Engineering, University of Applied Sciences, Stralsund, Germany

    G. Jäger

Authors
  1. T. M. G. Ahsanullah
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  2. G. Jäger
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Correspondence to G. Jäger.

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Ahsanullah, T.M.G., Jäger, G. Probabilistic uniform convergence spaces redefined. Acta Math. Hungar. 146, 376–390 (2015). https://doi.org/10.1007/s10474-015-0525-6

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  • DOI: https://doi.org/10.1007/s10474-015-0525-6

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