1. On the sum of L-convex spaces.
- Author
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Zhou, Xiao-Wu and Shi, Fu-Gui
- Subjects
- *
DISTRIBUTIVE lattices - Abstract
Considering L be a completely distributive lattice, the notion of the sum of L-convex spaces is introduced and its elementary properties is studied. Firstly, the connections between the sum of L-convex spaces and its factor spaces are established. Secondly, the additivity of separability (S-1, sub-S0, S0, S1, S2, S3 and S4) are investigated. Finally, the additivity of five types special L-convex spaces are examined. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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