Abstract
The purpose of this paper is to discuss some categorical properties of probabilistic convergence spaces. Its main theses are: (1) the construct P-PrTop of probabilistic pretopological spaces is the extensional topological hull of the construct FTPcs of FT-diagonal probabilistic convergence spaces for every triangular norm T; (2) the construct P-PsTop of probabilistic pseudotopological spaces is the topological universe hull of FTPcs for every triangular norm T.
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Herrlich, H., Zhang, D. Categorical Properties of Probabilistic Convergence Spaces. Applied Categorical Structures 6, 495–513 (1998). https://doi.org/10.1023/A:1008648428060
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DOI: https://doi.org/10.1023/A:1008648428060