Lattices of Extensions of Cyclically Ordered Sets and Compactifications of Generalized Cyclically Ordered Spaces
摘要
Abstract
The notion of an extension and a completion of a cyclically ordered set is introduced. It is shown that the family of all extensions of a cyclically ordered set has the structure of a complete lattice. Completions, which are cyclically ordered compactifications of generalized cyclically ordered spaces, are complete sublattices of this lattice.