Stratified hutton uniform spaces
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. (C) 2002 Elsevier Science B.V. All rights reserved.
stratified hutton uniformity hutton uniformity l-topological spaces topological construct