Categorical Properties of Probabilistic Convergence Spaces

Authors: Herrlich H.¹; Zhang D.²

Source: Applied Categorical Structures, Volume 6, Number 4, December 1998 , pp. 495-513(19)

Publisher: Springer

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.

Keywords: topological construct; probabilistic convergence space; extensional topological hull; topological universe hull; Cartesian closed topological hull

Language: English

Document Type: Regular paper

Affiliations: 1: Fachbereich 3 Mathematik, University of Bremen, 28334 Bremen, Germany 2: Department of Mathematics, Sichuan University, Chengdu 610064, China

Publication date: 1998-12-01

• In this: publication
• By this: publisher
• In this Subject: Mathematics and Statistics
• By this author: Herrlich H. ;  Zhang D.

Website © Publishing Technology. Article copyright remains with the publisher, society or author(s) as specified within the article.

• Terms and conditions
• Privacy policy
• Information for advertisers