Abstract
In this paper, we characterize each of T0, T1, Pre-Hausdorff and Hausdorff separation properties for the category L-GS of quantale-valued gauge spaces and L-gauge morphisms. Moreover, we investigate how these concepts are related to each other in this category. We show that T0, T1 and T2 are equivalent in the realm of Pre-Hausdorff quantale-valued gauge spaces. Finally, we compare our results with the ones in some other categories.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference36 articles.
1. Approach spaces A common Supercategory of Top and Met;Lowen;Math. Nachr.,1989
2. Lowen, R. (1997). Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad, Oxford University Press.
3. Fixed points of contractive maps on dcpo’s;Colebunders;Math. Struct. Comput. Sci.,2014
4. On convergence approach spaces;Brock;Appl. Categ. Struct.,1998
5. Intrinsic approach spaces on domains;Colebunders;Topol. Appl.,2011
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