Title: The Applications of the Universal Morphisms of LF-TOP the Category of All Fuzzy Topological Spaces
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.
Publication Year: 2018
Publication Date: 2018-01-01
Language: en
Type: article
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