The purpose of this paper is to point out the link between Lowen's fuzzy topologies and topological space objects in the topos L-SET. As the main result we obtain the following theorem: Lowen's fuzzy topologies are the external version of the internal topologies in L-SET. © 1986.
Hohle, U. (1986). Fuzzy topologies and topological space objects in a topos. Fuzzy Sets and Systems, 19(3), 299–304. https://doi.org/10.1016/0165-0114(86)90058-8