Abstract and concrete categories
Abstract and concrete categories
Point-set lattice-theoretic topology
Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
The categorical topology approach to fuzzy topology and fuzzy convergence
Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
On (L,M)-fuzzy quasi-uniform spaces
Fuzzy Sets and Systems
Uniform environments as a general framework for metrics and uniformities
Fuzzy Sets and Systems
On the category of fixed basis frame valued topological groups
Fuzzy Sets and Systems
A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces
Fuzzy Sets and Systems
L-uniform spaces versus I(L)-uniform spaces
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Stratified (L,M)-fuzzy quasi-uniform spaces
Computers & Mathematics with Applications
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In this paper some categorical properties of Hutton uniform spaces are investigated. At first, the initial and final structures for Hutton uniform spaces are discussed and it is proved that the canonical functor from the construct of Hutton uniform spaces to that of L-topological spaces preserves initial sources. Secondly, the notion of stratified Hutton uniform spaces is introduced, and it is demonstrated that every stratified Hutton uniformity induces a stratified L-topology and that the relationship between stratified Hutton uniform spaces and Hutton uniform spaces is like that between stratified L-topological spaces and L-topological spaces. Finally, it is showed that the construct of uniform spaces can be embedded in the construct of stratified Hutton uniform spaces as a concretely both reflective and co-reflective full sub-construct.