Categorical Properties of Probabilistic Convergence Spaces

نویسندگان

  • Horst Herrlich
  • Dexue Zhang
چکیده

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 . Mathematics Subject Classifications (1991): 54A20 54B30 18B15 18B30.

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عنوان ژورنال:
  • Applied Categorical Structures

دوره 6  شماره 

صفحات  -

تاریخ انتشار 1998