Abstract
AbstractLet L be a lattice and q a convergence structure (or a topology) finer than the interval topology of L. In case of compact maximal chains and continuous lattice translations, the connected components of the space (L,q) are characterized using lattice conditions only. Moreover, lattice conditions of L are related to connectedness conditions of the order convergence space (L, o). Throughout this note, maximal chain conditions and maximal chain techniques play an important role.
Publisher
Canadian Mathematical Society
Cited by
3 articles.
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1. Connectedness degrees in (L, M)-fuzzy convex structures;Journal of Intelligent & Fuzzy Systems;2024-01-10
2. Maximal Chains in Function Spaces;Annals of the New York Academy of Sciences;1992-09
3. Connectivity in Lattice-Ordered Spaces;Mathematische Nachrichten;1990