On the reflective and coreflective subcategory of stratified L-Cech closure spaces

摘要

In this paper, it is shown that the category of Cech closure spaces can be embedded in the category of stratified L-Cech closure spaces as a coreflective full subcategory. Furthermore, if the underlying lattice of the complete residuated lattice Lis completely distributive, the embedding is also reflective. Finally, some related commutative diagrams are obtained. (c) 2019 Elsevier B.V. All rights reserved.