Abdelkrim Latreche, Farhan Ismail, "The Applications of the Universal Morphisms of LF-TOP the Category of All Fuzzy Topological Spaces," WSEAS Transactions on Mathematics, vol. 17, pp. 213-219, 2018, DOI:
Abdelkrim Latreche, Farhan Ismail. The Applications of the Universal Morphisms of LF-TOP the Category of All Fuzzy Topological Spaces.
WSEAS Transactions on Mathematics. 2018;17:213-219.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 17, 2018
The Applications of the Universal Morphisms of LF-TOP the Category of All Fuzzy Topological Spaces
Authors: ,
Abstract: Finding the universal morphisms for a given category is considered as comprehensive study of the principal properties that this category can achieved. In this work, we build a category of fuzzy topological spaces with respect to Lowen’s definition of Fuzzy TOPological space [3], that we denoted LF-TOP. Firstly, we collected universal morphisms of TOP category, listed by Sander Mac Lane [7]. Second, we studied universal morphisms of LF-TOP. We found through this study that the properties of this category are a generalization to the TOP category properties and TOP’s universal morphisms are projections of LF-TOP’s ones. This shows the power of Lowen’s fuzziness effect on the ordinary topological space.
Pages: 213-219 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #27 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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